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Finding the Fourth Proportional to 2,154.40, 2,972.04 and 1,859.56

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Solution

The fourth proportional to 2,154.40, 2,972.04 and 1,859.56 is: 2,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.40 : 2,972.04 = 1,859.56 : x
  2. Step 2: Convert to fraction form
    2,154.40/2,972.04 = 1,859.56/x
  3. Step 3: Cross multiply
    2,154.40x = 2,972.04 × 1,859.56
  4. Step 4: Simplify right side
    2,154.40x = 5,526,686.70
  5. Step 5: Solve for x
    x = 5,526,686.70/2,154.40
  6. Step 6: Final answer
    x = 2,565.30

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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.