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Finding the Fourth Proportional to 12,142, 16,758.96 and 7,430.28

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Solution

The fourth proportional to 12,142, 16,758.96 and 7,430.28 is: 10,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 16,758.96 = 7,430.28 : x
  2. Step 2: Convert to fraction form
    12,142/16,758.96 = 7,430.28/x
  3. Step 3: Cross multiply
    12,142x = 16,758.96 × 7,430.28
  4. Step 4: Simplify right side
    12,142x = 124,523,765.31
  5. Step 5: Solve for x
    x = 124,523,765.31/12,142
  6. Step 6: Final answer
    x = 10,255.62

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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.