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Finding the Fourth Proportional to 2,437.24, 3,656.70 and 771.62

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Solution

The fourth proportional to 2,437.24, 3,656.70 and 771.62 is: 1,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.24 : 3,656.70 = 771.62 : x
  2. Step 2: Convert to fraction form
    2,437.24/3,656.70 = 771.62/x
  3. Step 3: Cross multiply
    2,437.24x = 3,656.70 × 771.62
  4. Step 4: Simplify right side
    2,437.24x = 2,821,582.85
  5. Step 5: Solve for x
    x = 2,821,582.85/2,437.24
  6. Step 6: Final answer
    x = 1,157.70

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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.