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Finding the Fourth Proportional to 5,312.76, 7,972.95 and 4,285.17

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Solution

The fourth proportional to 5,312.76, 7,972.95 and 4,285.17 is: 6,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.76 : 7,972.95 = 4,285.17 : x
  2. Step 2: Convert to fraction form
    5,312.76/7,972.95 = 4,285.17/x
  3. Step 3: Cross multiply
    5,312.76x = 7,972.95 × 4,285.17
  4. Step 4: Simplify right side
    5,312.76x = 34,165,446.15
  5. Step 5: Solve for x
    x = 34,165,446.15/5,312.76
  6. Step 6: Final answer
    x = 6,430.83

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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.