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Finding the Fourth Proportional to 2,988.53, 4,483.71 and 1,528.71

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Solution

The fourth proportional to 2,988.53, 4,483.71 and 1,528.71 is: 2,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.53 : 4,483.71 = 1,528.71 : x
  2. Step 2: Convert to fraction form
    2,988.53/4,483.71 = 1,528.71/x
  3. Step 3: Cross multiply
    2,988.53x = 4,483.71 × 1,528.71
  4. Step 4: Simplify right side
    2,988.53x = 6,854,292.31
  5. Step 5: Solve for x
    x = 6,854,292.31/2,988.53
  6. Step 6: Final answer
    x = 2,293.53

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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.