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Finding the Fourth Proportional to 22,318.74, 30,801.06 and 13,365

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Solution

The fourth proportional to 22,318.74, 30,801.06 and 13,365 is: 18,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.74 : 30,801.06 = 13,365 : x
  2. Step 2: Convert to fraction form
    22,318.74/30,801.06 = 13,365/x
  3. Step 3: Cross multiply
    22,318.74x = 30,801.06 × 13,365
  4. Step 4: Simplify right side
    22,318.74x = 411,656,166.90
  5. Step 5: Solve for x
    x = 411,656,166.90/22,318.74
  6. Step 6: Final answer
    x = 18,444.42

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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.