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Finding the Fourth Proportional to 8,420.52, 12,649.02 and 5,135.58

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Solution

The fourth proportional to 8,420.52, 12,649.02 and 5,135.58 is: 7,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.52 : 12,649.02 = 5,135.58 : x
  2. Step 2: Convert to fraction form
    8,420.52/12,649.02 = 5,135.58/x
  3. Step 3: Cross multiply
    8,420.52x = 12,649.02 × 5,135.58
  4. Step 4: Simplify right side
    8,420.52x = 64,960,054.13
  5. Step 5: Solve for x
    x = 64,960,054.13/8,420.52
  6. Step 6: Final answer
    x = 7,714.49

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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.