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Finding the Fourth Proportional to 8,575.40, 12,876.30 and 4,687.40

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Solution

The fourth proportional to 8,575.40, 12,876.30 and 4,687.40 is: 7,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.40 : 12,876.30 = 4,687.40 : x
  2. Step 2: Convert to fraction form
    8,575.40/12,876.30 = 4,687.40/x
  3. Step 3: Cross multiply
    8,575.40x = 12,876.30 × 4,687.40
  4. Step 4: Simplify right side
    8,575.40x = 60,356,368.62
  5. Step 5: Solve for x
    x = 60,356,368.62/8,575.40
  6. Step 6: Final answer
    x = 7,038.32

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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.