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Finding the Fourth Proportional to 2,877.72, 4,316.64 and 929.92

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Solution

The fourth proportional to 2,877.72, 4,316.64 and 929.92 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.72 : 4,316.64 = 929.92 : x
  2. Step 2: Convert to fraction form
    2,877.72/4,316.64 = 929.92/x
  3. Step 3: Cross multiply
    2,877.72x = 4,316.64 × 929.92
  4. Step 4: Simplify right side
    2,877.72x = 4,014,129.87
  5. Step 5: Solve for x
    x = 4,014,129.87/2,877.72
  6. Step 6: Final answer
    x = 1,394.90

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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.