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Finding the Fourth Proportional to 12,074.66, 18,115.68 and 9,985.16

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Solution

The fourth proportional to 12,074.66, 18,115.68 and 9,985.16 is: 14,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.66 : 18,115.68 = 9,985.16 : x
  2. Step 2: Convert to fraction form
    12,074.66/18,115.68 = 9,985.16/x
  3. Step 3: Cross multiply
    12,074.66x = 18,115.68 × 9,985.16
  4. Step 4: Simplify right side
    12,074.66x = 180,887,963.31
  5. Step 5: Solve for x
    x = 180,887,963.31/12,074.66
  6. Step 6: Final answer
    x = 14,980.79

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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.