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Finding the Fourth Proportional to 9,991.32, 14,985.94 and 6,282.30

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Solution

The fourth proportional to 9,991.32, 14,985.94 and 6,282.30 is: 9,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.32 : 14,985.94 = 6,282.30 : x
  2. Step 2: Convert to fraction form
    9,991.32/14,985.94 = 6,282.30/x
  3. Step 3: Cross multiply
    9,991.32x = 14,985.94 × 6,282.30
  4. Step 4: Simplify right side
    9,991.32x = 94,146,170.86
  5. Step 5: Solve for x
    x = 94,146,170.86/9,991.32
  6. Step 6: Final answer
    x = 9,422.80

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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.