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Finding the Fourth Proportional to 9,280.26, 12,806.26 and 5,300.83

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Solution

The fourth proportional to 9,280.26, 12,806.26 and 5,300.83 is: 7,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.26 : 12,806.26 = 5,300.83 : x
  2. Step 2: Convert to fraction form
    9,280.26/12,806.26 = 5,300.83/x
  3. Step 3: Cross multiply
    9,280.26x = 12,806.26 × 5,300.83
  4. Step 4: Simplify right side
    9,280.26x = 67,883,807.20
  5. Step 5: Solve for x
    x = 67,883,807.20/9,280.26
  6. Step 6: Final answer
    x = 7,314.86

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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.