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Finding the Fourth Proportional to 4,649.42, 6,972.65 and 1,528.71

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Solution

The fourth proportional to 4,649.42, 6,972.65 and 1,528.71 is: 2,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.42 : 6,972.65 = 1,528.71 : x
  2. Step 2: Convert to fraction form
    4,649.42/6,972.65 = 1,528.71/x
  3. Step 3: Cross multiply
    4,649.42x = 6,972.65 × 1,528.71
  4. Step 4: Simplify right side
    4,649.42x = 10,659,163.60
  5. Step 5: Solve for x
    x = 10,659,163.60/4,649.42
  6. Step 6: Final answer
    x = 2,292.58

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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.