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Finding the Fourth Proportional to 9,280.40, 12,806.88 and 5,088.64

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Solution

The fourth proportional to 9,280.40, 12,806.88 and 5,088.64 is: 7,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.40 : 12,806.88 = 5,088.64 : x
  2. Step 2: Convert to fraction form
    9,280.40/12,806.88 = 5,088.64/x
  3. Step 3: Cross multiply
    9,280.40x = 12,806.88 × 5,088.64
  4. Step 4: Simplify right side
    9,280.40x = 65,169,601.84
  5. Step 5: Solve for x
    x = 65,169,601.84/9,280.40
  6. Step 6: Final answer
    x = 7,022.28

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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.