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Finding the Fourth Proportional to 8,642.30, 12,982.65 and 8,315.90

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Solution

The fourth proportional to 8,642.30, 12,982.65 and 8,315.90 is: 12,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.30 : 12,982.65 = 8,315.90 : x
  2. Step 2: Convert to fraction form
    8,642.30/12,982.65 = 8,315.90/x
  3. Step 3: Cross multiply
    8,642.30x = 12,982.65 × 8,315.90
  4. Step 4: Simplify right side
    8,642.30x = 107,962,419.14
  5. Step 5: Solve for x
    x = 107,962,419.14/8,642.30
  6. Step 6: Final answer
    x = 12,492.32

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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.