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Finding the Fourth Proportional to 21,458, 29,605.52 and 13,508.16

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Solution

The fourth proportional to 21,458, 29,605.52 and 13,508.16 is: 18,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458 : 29,605.52 = 13,508.16 : x
  2. Step 2: Convert to fraction form
    21,458/29,605.52 = 13,508.16/x
  3. Step 3: Cross multiply
    21,458x = 29,605.52 × 13,508.16
  4. Step 4: Simplify right side
    21,458x = 399,916,101.04
  5. Step 5: Solve for x
    x = 399,916,101.04/21,458
  6. Step 6: Final answer
    x = 18,637.16

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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.