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Finding the Fourth Proportional to 31,569.84, 47,294 and 19,728.24

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Solution

The fourth proportional to 31,569.84, 47,294 and 19,728.24 is: 29,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.84 : 47,294 = 19,728.24 : x
  2. Step 2: Convert to fraction form
    31,569.84/47,294 = 19,728.24/x
  3. Step 3: Cross multiply
    31,569.84x = 47,294 × 19,728.24
  4. Step 4: Simplify right side
    31,569.84x = 933,027,382.56
  5. Step 5: Solve for x
    x = 933,027,382.56/31,569.84
  6. Step 6: Final answer
    x = 29,554.39

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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.