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Finding the Fourth Proportional to 6,471.61, 9,708.02 and 2,312.05

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Solution

The fourth proportional to 6,471.61, 9,708.02 and 2,312.05 is: 3,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.61 : 9,708.02 = 2,312.05 : x
  2. Step 2: Convert to fraction form
    6,471.61/9,708.02 = 2,312.05/x
  3. Step 3: Cross multiply
    6,471.61x = 9,708.02 × 2,312.05
  4. Step 4: Simplify right side
    6,471.61x = 22,445,427.64
  5. Step 5: Solve for x
    x = 22,445,427.64/6,471.61
  6. Step 6: Final answer
    x = 3,468.29

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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.