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Finding the Fourth Proportional to 15,487.80, 23,193.30 and 12,415.80

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Solution

The fourth proportional to 15,487.80, 23,193.30 and 12,415.80 is: 18,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.80 : 23,193.30 = 12,415.80 : x
  2. Step 2: Convert to fraction form
    15,487.80/23,193.30 = 12,415.80/x
  3. Step 3: Cross multiply
    15,487.80x = 23,193.30 × 12,415.80
  4. Step 4: Simplify right side
    15,487.80x = 287,963,374.14
  5. Step 5: Solve for x
    x = 287,963,374.14/15,487.80
  6. Step 6: Final answer
    x = 18,592.92

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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.