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Finding the Fourth Proportional to 8,537.40, 12,819.30 and 4,649.40

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Solution

The fourth proportional to 8,537.40, 12,819.30 and 4,649.40 is: 6,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,819.30 = 4,649.40 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,819.30 = 4,649.40/x
  3. Step 3: Cross multiply
    8,537.40x = 12,819.30 × 4,649.40
  4. Step 4: Simplify right side
    8,537.40x = 59,602,053.42
  5. Step 5: Solve for x
    x = 59,602,053.42/8,537.40
  6. Step 6: Final answer
    x = 6,981.29

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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.