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Finding the Fourth Proportional to 2,931.78, 4,397.88 and 983.96

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Solution

The fourth proportional to 2,931.78, 4,397.88 and 983.96 is: 1,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.78 : 4,397.88 = 983.96 : x
  2. Step 2: Convert to fraction form
    2,931.78/4,397.88 = 983.96/x
  3. Step 3: Cross multiply
    2,931.78x = 4,397.88 × 983.96
  4. Step 4: Simplify right side
    2,931.78x = 4,327,338.00
  5. Step 5: Solve for x
    x = 4,327,338.00/2,931.78
  6. Step 6: Final answer
    x = 1,476.01

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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.