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Finding the Fourth Proportional to 9,615.86, 14,431.10 and 6,488.45

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Solution

The fourth proportional to 9,615.86, 14,431.10 and 6,488.45 is: 9,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.86 : 14,431.10 = 6,488.45 : x
  2. Step 2: Convert to fraction form
    9,615.86/14,431.10 = 6,488.45/x
  3. Step 3: Cross multiply
    9,615.86x = 14,431.10 × 6,488.45
  4. Step 4: Simplify right side
    9,615.86x = 93,635,474.43
  5. Step 5: Solve for x
    x = 93,635,474.43/9,615.86
  6. Step 6: Final answer
    x = 9,737.61

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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.