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Finding the Fourth Proportional to 2,437.50, 3,657.12 and 1,560.42

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Solution

The fourth proportional to 2,437.50, 3,657.12 and 1,560.42 is: 2,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.50 : 3,657.12 = 1,560.42 : x
  2. Step 2: Convert to fraction form
    2,437.50/3,657.12 = 1,560.42/x
  3. Step 3: Cross multiply
    2,437.50x = 3,657.12 × 1,560.42
  4. Step 4: Simplify right side
    2,437.50x = 5,706,623.38
  5. Step 5: Solve for x
    x = 5,706,623.38/2,437.50
  6. Step 6: Final answer
    x = 2,341.18

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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.