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Finding the Fourth Proportional to 22,971, 31,702.80 and 14,018.28

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Solution

The fourth proportional to 22,971, 31,702.80 and 14,018.28 is: 19,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971 : 31,702.80 = 14,018.28 : x
  2. Step 2: Convert to fraction form
    22,971/31,702.80 = 14,018.28/x
  3. Step 3: Cross multiply
    22,971x = 31,702.80 × 14,018.28
  4. Step 4: Simplify right side
    22,971x = 444,418,727.18
  5. Step 5: Solve for x
    x = 444,418,727.18/22,971
  6. Step 6: Final answer
    x = 19,346.95

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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.