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Finding the Fourth Proportional to 28,594.32, 42,817.20 and 19,737

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Solution

The fourth proportional to 28,594.32, 42,817.20 and 19,737 is: 29,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,594.32 : 42,817.20 = 19,737 : x
  2. Step 2: Convert to fraction form
    28,594.32/42,817.20 = 19,737/x
  3. Step 3: Cross multiply
    28,594.32x = 42,817.20 × 19,737
  4. Step 4: Simplify right side
    28,594.32x = 845,083,076.40
  5. Step 5: Solve for x
    x = 845,083,076.40/28,594.32
  6. Step 6: Final answer
    x = 29,554.23

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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.