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Finding the Fourth Proportional to 5,276.64, 7,913.04 and 1,988.04

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Solution

The fourth proportional to 5,276.64, 7,913.04 and 1,988.04 is: 2,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.64 : 7,913.04 = 1,988.04 : x
  2. Step 2: Convert to fraction form
    5,276.64/7,913.04 = 1,988.04/x
  3. Step 3: Cross multiply
    5,276.64x = 7,913.04 × 1,988.04
  4. Step 4: Simplify right side
    5,276.64x = 15,731,440.04
  5. Step 5: Solve for x
    x = 15,731,440.04/5,276.64
  6. Step 6: Final answer
    x = 2,981.34

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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.