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Finding the Fourth Proportional to 10,252.64, 15,278.22 and 9,918.20

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Solution

The fourth proportional to 10,252.64, 15,278.22 and 9,918.20 is: 14,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.64 : 15,278.22 = 9,918.20 : x
  2. Step 2: Convert to fraction form
    10,252.64/15,278.22 = 9,918.20/x
  3. Step 3: Cross multiply
    10,252.64x = 15,278.22 × 9,918.20
  4. Step 4: Simplify right side
    10,252.64x = 151,532,441.60
  5. Step 5: Solve for x
    x = 151,532,441.60/10,252.64
  6. Step 6: Final answer
    x = 14,779.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.