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Finding the Fourth Proportional to 1,769.71, 2,442.38 and 983.76

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Solution

The fourth proportional to 1,769.71, 2,442.38 and 983.76 is: 1,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.71 : 2,442.38 = 983.76 : x
  2. Step 2: Convert to fraction form
    1,769.71/2,442.38 = 983.76/x
  3. Step 3: Cross multiply
    1,769.71x = 2,442.38 × 983.76
  4. Step 4: Simplify right side
    1,769.71x = 2,402,715.75
  5. Step 5: Solve for x
    x = 2,402,715.75/1,769.71
  6. Step 6: Final answer
    x = 1,357.69

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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.