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Finding the Fourth Proportional to 2,957.72, 4,436.60 and 877.76

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Solution

The fourth proportional to 2,957.72, 4,436.60 and 877.76 is: 1,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.72 : 4,436.60 = 877.76 : x
  2. Step 2: Convert to fraction form
    2,957.72/4,436.60 = 877.76/x
  3. Step 3: Cross multiply
    2,957.72x = 4,436.60 × 877.76
  4. Step 4: Simplify right side
    2,957.72x = 3,894,270.02
  5. Step 5: Solve for x
    x = 3,894,270.02/2,957.72
  6. Step 6: Final answer
    x = 1,316.65

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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.