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Finding the Fourth Proportional to 4,991.08, 7,486.20 and 1,528

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Solution

The fourth proportional to 4,991.08, 7,486.20 and 1,528 is: 2,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.08 : 7,486.20 = 1,528 : x
  2. Step 2: Convert to fraction form
    4,991.08/7,486.20 = 1,528/x
  3. Step 3: Cross multiply
    4,991.08x = 7,486.20 × 1,528
  4. Step 4: Simplify right side
    4,991.08x = 11,438,913.60
  5. Step 5: Solve for x
    x = 11,438,913.60/4,991.08
  6. Step 6: Final answer
    x = 2,291.87

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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.