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Finding the Fourth Proportional to 2,437.84, 3,655.85 and 877.42

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Solution

The fourth proportional to 2,437.84, 3,655.85 and 877.42 is: 1,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.84 : 3,655.85 = 877.42 : x
  2. Step 2: Convert to fraction form
    2,437.84/3,655.85 = 877.42/x
  3. Step 3: Cross multiply
    2,437.84x = 3,655.85 × 877.42
  4. Step 4: Simplify right side
    2,437.84x = 3,207,715.91
  5. Step 5: Solve for x
    x = 3,207,715.91/2,437.84
  6. Step 6: Final answer
    x = 1,315.80

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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.