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Finding the Fourth Proportional to 6,972, 9,621.09 and 3,987.76

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Solution

The fourth proportional to 6,972, 9,621.09 and 3,987.76 is: 5,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 9,621.09 = 3,987.76 : x
  2. Step 2: Convert to fraction form
    6,972/9,621.09 = 3,987.76/x
  3. Step 3: Cross multiply
    6,972x = 9,621.09 × 3,987.76
  4. Step 4: Simplify right side
    6,972x = 38,366,597.86
  5. Step 5: Solve for x
    x = 38,366,597.86/6,972
  6. Step 6: Final answer
    x = 5,502.95

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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.