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Finding the Fourth Proportional to 1,560.93, 2,154.11 and 897.90

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Solution

The fourth proportional to 1,560.93, 2,154.11 and 897.90 is: 1,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.93 : 2,154.11 = 897.90 : x
  2. Step 2: Convert to fraction form
    1,560.93/2,154.11 = 897.90/x
  3. Step 3: Cross multiply
    1,560.93x = 2,154.11 × 897.90
  4. Step 4: Simplify right side
    1,560.93x = 1,934,170.88
  5. Step 5: Solve for x
    x = 1,934,170.88/1,560.93
  6. Step 6: Final answer
    x = 1,239.11

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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.