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Finding the Fourth Proportional to 5,312.24, 7,971.48 and 4,742

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Solution

The fourth proportional to 5,312.24, 7,971.48 and 4,742 is: 7,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.24 : 7,971.48 = 4,742 : x
  2. Step 2: Convert to fraction form
    5,312.24/7,971.48 = 4,742/x
  3. Step 3: Cross multiply
    5,312.24x = 7,971.48 × 4,742
  4. Step 4: Simplify right side
    5,312.24x = 37,800,758.16
  5. Step 5: Solve for x
    x = 37,800,758.16/5,312.24
  6. Step 6: Final answer
    x = 7,115.79

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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.