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Finding the Fourth Proportional to 7,151.40, 10,780.71 and 6,675.66

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Solution

The fourth proportional to 7,151.40, 10,780.71 and 6,675.66 is: 10,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.40 : 10,780.71 = 6,675.66 : x
  2. Step 2: Convert to fraction form
    7,151.40/10,780.71 = 6,675.66/x
  3. Step 3: Cross multiply
    7,151.40x = 10,780.71 × 6,675.66
  4. Step 4: Simplify right side
    7,151.40x = 71,968,354.52
  5. Step 5: Solve for x
    x = 71,968,354.52/7,151.40
  6. Step 6: Final answer
    x = 10,063.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.