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Finding the Fourth Proportional to 7,114.90, 10,672.54 and 1,920.76

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Solution

The fourth proportional to 7,114.90, 10,672.54 and 1,920.76 is: 2,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.90 : 10,672.54 = 1,920.76 : x
  2. Step 2: Convert to fraction form
    7,114.90/10,672.54 = 1,920.76/x
  3. Step 3: Cross multiply
    7,114.90x = 10,672.54 × 1,920.76
  4. Step 4: Simplify right side
    7,114.90x = 20,499,387.93
  5. Step 5: Solve for x
    x = 20,499,387.93/7,114.90
  6. Step 6: Final answer
    x = 2,881.19

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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.