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Finding the Fourth Proportional to 21,537.68, 29,703.68 and 14,834.16

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Solution

The fourth proportional to 21,537.68, 29,703.68 and 14,834.16 is: 20,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.68 : 29,703.68 = 14,834.16 : x
  2. Step 2: Convert to fraction form
    21,537.68/29,703.68 = 14,834.16/x
  3. Step 3: Cross multiply
    21,537.68x = 29,703.68 × 14,834.16
  4. Step 4: Simplify right side
    21,537.68x = 440,629,141.71
  5. Step 5: Solve for x
    x = 440,629,141.71/21,537.68
  6. Step 6: Final answer
    x = 20,458.52

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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.