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Finding the Fourth Proportional to 1,507.86, 2,265.44 and 961.10

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Solution

The fourth proportional to 1,507.86, 2,265.44 and 961.10 is: 1,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.86 : 2,265.44 = 961.10 : x
  2. Step 2: Convert to fraction form
    1,507.86/2,265.44 = 961.10/x
  3. Step 3: Cross multiply
    1,507.86x = 2,265.44 × 961.10
  4. Step 4: Simplify right side
    1,507.86x = 2,177,314.38
  5. Step 5: Solve for x
    x = 2,177,314.38/1,507.86
  6. Step 6: Final answer
    x = 1,443.98

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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.