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Finding the Fourth Proportional to 4,988.56, 7,483.68 and 1,525

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Solution

The fourth proportional to 4,988.56, 7,483.68 and 1,525 is: 2,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.56 : 7,483.68 = 1,525 : x
  2. Step 2: Convert to fraction form
    4,988.56/7,483.68 = 1,525/x
  3. Step 3: Cross multiply
    4,988.56x = 7,483.68 × 1,525
  4. Step 4: Simplify right side
    4,988.56x = 11,412,612
  5. Step 5: Solve for x
    x = 11,412,612/4,988.56
  6. Step 6: Final answer
    x = 2,287.76

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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.