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Finding the Fourth Proportional to 9,387.86, 14,078.91 and 6,484.82

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Solution

The fourth proportional to 9,387.86, 14,078.91 and 6,484.82 is: 9,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.86 : 14,078.91 = 6,484.82 : x
  2. Step 2: Convert to fraction form
    9,387.86/14,078.91 = 6,484.82/x
  3. Step 3: Cross multiply
    9,387.86x = 14,078.91 × 6,484.82
  4. Step 4: Simplify right side
    9,387.86x = 91,299,197.15
  5. Step 5: Solve for x
    x = 91,299,197.15/9,387.86
  6. Step 6: Final answer
    x = 9,725.24

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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.