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Finding the Fourth Proportional to 9,280.71, 12,807.36 and 5,089.23

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Solution

The fourth proportional to 9,280.71, 12,807.36 and 5,089.23 is: 7,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.71 : 12,807.36 = 5,089.23 : x
  2. Step 2: Convert to fraction form
    9,280.71/12,807.36 = 5,089.23/x
  3. Step 3: Cross multiply
    9,280.71x = 12,807.36 × 5,089.23
  4. Step 4: Simplify right side
    9,280.71x = 65,179,600.73
  5. Step 5: Solve for x
    x = 65,179,600.73/9,280.71
  6. Step 6: Final answer
    x = 7,023.13

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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.