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Finding the Fourth Proportional to 14,989.42, 20,672.04 and 9,678.66

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Solution

The fourth proportional to 14,989.42, 20,672.04 and 9,678.66 is: 13,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989.42 : 20,672.04 = 9,678.66 : x
  2. Step 2: Convert to fraction form
    14,989.42/20,672.04 = 9,678.66/x
  3. Step 3: Cross multiply
    14,989.42x = 20,672.04 × 9,678.66
  4. Step 4: Simplify right side
    14,989.42x = 200,077,605.44
  5. Step 5: Solve for x
    x = 200,077,605.44/14,989.42
  6. Step 6: Final answer
    x = 13,347.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.