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Finding the Fourth Proportional to 7,182.14, 10,773.19 and 1,988

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Solution

The fourth proportional to 7,182.14, 10,773.19 and 1,988 is: 2,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.14 : 10,773.19 = 1,988 : x
  2. Step 2: Convert to fraction form
    7,182.14/10,773.19 = 1,988/x
  3. Step 3: Cross multiply
    7,182.14x = 10,773.19 × 1,988
  4. Step 4: Simplify right side
    7,182.14x = 21,417,101.72
  5. Step 5: Solve for x
    x = 21,417,101.72/7,182.14
  6. Step 6: Final answer
    x = 2,981.99

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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.