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Finding the Fourth Proportional to 6,312.56, 9,471.98 and 4,642.57

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Solution

The fourth proportional to 6,312.56, 9,471.98 and 4,642.57 is: 6,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.56 : 9,471.98 = 4,642.57 : x
  2. Step 2: Convert to fraction form
    6,312.56/9,471.98 = 4,642.57/x
  3. Step 3: Cross multiply
    6,312.56x = 9,471.98 × 4,642.57
  4. Step 4: Simplify right side
    6,312.56x = 43,974,283.30
  5. Step 5: Solve for x
    x = 43,974,283.30/6,312.56
  6. Step 6: Final answer
    x = 6,966.15

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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.