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Finding the Fourth Proportional to 21,678.56, 32,569.84 and 13,902.56

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Solution

The fourth proportional to 21,678.56, 32,569.84 and 13,902.56 is: 20,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.56 : 32,569.84 = 13,902.56 : x
  2. Step 2: Convert to fraction form
    21,678.56/32,569.84 = 13,902.56/x
  3. Step 3: Cross multiply
    21,678.56x = 32,569.84 × 13,902.56
  4. Step 4: Simplify right side
    21,678.56x = 452,804,154.79
  5. Step 5: Solve for x
    x = 452,804,154.79/21,678.56
  6. Step 6: Final answer
    x = 20,887.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.