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Finding the Fourth Proportional to 2,158.53, 3,237.11 and 697.35

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Solution

The fourth proportional to 2,158.53, 3,237.11 and 697.35 is: 1,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.53 : 3,237.11 = 697.35 : x
  2. Step 2: Convert to fraction form
    2,158.53/3,237.11 = 697.35/x
  3. Step 3: Cross multiply
    2,158.53x = 3,237.11 × 697.35
  4. Step 4: Simplify right side
    2,158.53x = 2,257,384.22
  5. Step 5: Solve for x
    x = 2,257,384.22/2,158.53
  6. Step 6: Final answer
    x = 1,045.80

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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.