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Finding the Fourth Proportional to 8,642.41, 11,920.16 and 6,518.03

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Solution

The fourth proportional to 8,642.41, 11,920.16 and 6,518.03 is: 8,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.41 : 11,920.16 = 6,518.03 : x
  2. Step 2: Convert to fraction form
    8,642.41/11,920.16 = 6,518.03/x
  3. Step 3: Cross multiply
    8,642.41x = 11,920.16 × 6,518.03
  4. Step 4: Simplify right side
    8,642.41x = 77,695,960.48
  5. Step 5: Solve for x
    x = 77,695,960.48/8,642.41
  6. Step 6: Final answer
    x = 8,990.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.