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Finding the Fourth Proportional to 22,491.52, 31,038.12 and 12,420.64

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Solution

The fourth proportional to 22,491.52, 31,038.12 and 12,420.64 is: 17,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.52 : 31,038.12 = 12,420.64 : x
  2. Step 2: Convert to fraction form
    22,491.52/31,038.12 = 12,420.64/x
  3. Step 3: Cross multiply
    22,491.52x = 31,038.12 × 12,420.64
  4. Step 4: Simplify right side
    22,491.52x = 385,513,314.80
  5. Step 5: Solve for x
    x = 385,513,314.80/22,491.52
  6. Step 6: Final answer
    x = 17,140.39

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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.