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Finding the Fourth Proportional to 9,280.38, 12,806.99 and 5,088.63

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Solution

The fourth proportional to 9,280.38, 12,806.99 and 5,088.63 is: 7,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.38 : 12,806.99 = 5,088.63 : x
  2. Step 2: Convert to fraction form
    9,280.38/12,806.99 = 5,088.63/x
  3. Step 3: Cross multiply
    9,280.38x = 12,806.99 × 5,088.63
  4. Step 4: Simplify right side
    9,280.38x = 65,170,033.52
  5. Step 5: Solve for x
    x = 65,170,033.52/9,280.38
  6. Step 6: Final answer
    x = 7,022.35

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.