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Finding the Fourth Proportional to 3,751.17, 5,626.76 and 977.84

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Solution

The fourth proportional to 3,751.17, 5,626.76 and 977.84 is: 1,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.17 : 5,626.76 = 977.84 : x
  2. Step 2: Convert to fraction form
    3,751.17/5,626.76 = 977.84/x
  3. Step 3: Cross multiply
    3,751.17x = 5,626.76 × 977.84
  4. Step 4: Simplify right side
    3,751.17x = 5,502,037.98
  5. Step 5: Solve for x
    x = 5,502,037.98/3,751.17
  6. Step 6: Final answer
    x = 1,466.75

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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.