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Finding the Fourth Proportional to 9,860.86, 14,770.28 and 7,978.68

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Solution

The fourth proportional to 9,860.86, 14,770.28 and 7,978.68 is: 11,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.86 : 14,770.28 = 7,978.68 : x
  2. Step 2: Convert to fraction form
    9,860.86/14,770.28 = 7,978.68/x
  3. Step 3: Cross multiply
    9,860.86x = 14,770.28 × 7,978.68
  4. Step 4: Simplify right side
    9,860.86x = 117,847,337.63
  5. Step 5: Solve for x
    x = 117,847,337.63/9,860.86
  6. Step 6: Final answer
    x = 11,951.02

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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.