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Finding the Fourth Proportional to 2,957.83, 4,436.76 and 877.88

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Solution

The fourth proportional to 2,957.83, 4,436.76 and 877.88 is: 1,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.83 : 4,436.76 = 877.88 : x
  2. Step 2: Convert to fraction form
    2,957.83/4,436.76 = 877.88/x
  3. Step 3: Cross multiply
    2,957.83x = 4,436.76 × 877.88
  4. Step 4: Simplify right side
    2,957.83x = 3,894,942.87
  5. Step 5: Solve for x
    x = 3,894,942.87/2,957.83
  6. Step 6: Final answer
    x = 1,316.82

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1.5x scale

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.