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Finding the Fourth Proportional to 22,509.47, 31,061.47 and 12,437.80

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Solution

The fourth proportional to 22,509.47, 31,061.47 and 12,437.80 is: 17,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.47 : 31,061.47 = 12,437.80 : x
  2. Step 2: Convert to fraction form
    22,509.47/31,061.47 = 12,437.80/x
  3. Step 3: Cross multiply
    22,509.47x = 31,061.47 × 12,437.80
  4. Step 4: Simplify right side
    22,509.47x = 386,336,351.57
  5. Step 5: Solve for x
    x = 386,336,351.57/22,509.47
  6. Step 6: Final answer
    x = 17,163.28

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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.