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Finding the Fourth Proportional to 4,752.82, 7,129.20 and 1,465

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Solution

The fourth proportional to 4,752.82, 7,129.20 and 1,465 is: 2,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.82 : 7,129.20 = 1,465 : x
  2. Step 2: Convert to fraction form
    4,752.82/7,129.20 = 1,465/x
  3. Step 3: Cross multiply
    4,752.82x = 7,129.20 × 1,465
  4. Step 4: Simplify right side
    4,752.82x = 10,444,278
  5. Step 5: Solve for x
    x = 10,444,278/4,752.82
  6. Step 6: Final answer
    x = 2,197.49

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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.