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Finding the Fourth Proportional to 7,148.04, 9,904.19 and 6,986.76

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Solution

The fourth proportional to 7,148.04, 9,904.19 and 6,986.76 is: 9,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.04 : 9,904.19 = 6,986.76 : x
  2. Step 2: Convert to fraction form
    7,148.04/9,904.19 = 6,986.76/x
  3. Step 3: Cross multiply
    7,148.04x = 9,904.19 × 6,986.76
  4. Step 4: Simplify right side
    7,148.04x = 69,198,198.52
  5. Step 5: Solve for x
    x = 69,198,198.52/7,148.04
  6. Step 6: Final answer
    x = 9,680.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.