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Finding the Fourth Proportional to 8,471.34, 12,703.06 and 4,521.53

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Solution

The fourth proportional to 8,471.34, 12,703.06 and 4,521.53 is: 6,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.34 : 12,703.06 = 4,521.53 : x
  2. Step 2: Convert to fraction form
    8,471.34/12,703.06 = 4,521.53/x
  3. Step 3: Cross multiply
    8,471.34x = 12,703.06 × 4,521.53
  4. Step 4: Simplify right side
    8,471.34x = 57,437,266.88
  5. Step 5: Solve for x
    x = 57,437,266.88/8,471.34
  6. Step 6: Final answer
    x = 6,780.19

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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.