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Finding the Fourth Proportional to 2,378.97, 3,564 and 1,061.30

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Solution

The fourth proportional to 2,378.97, 3,564 and 1,061.30 is: 1,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.97 : 3,564 = 1,061.30 : x
  2. Step 2: Convert to fraction form
    2,378.97/3,564 = 1,061.30/x
  3. Step 3: Cross multiply
    2,378.97x = 3,564 × 1,061.30
  4. Step 4: Simplify right side
    2,378.97x = 3,782,482.11
  5. Step 5: Solve for x
    x = 3,782,482.11/2,378.97
  6. Step 6: Final answer
    x = 1,589.97

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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.