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Finding the Fourth Proportional to 5,133.47, 7,700.20 and 1,237.88

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Solution

The fourth proportional to 5,133.47, 7,700.20 and 1,237.88 is: 1,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.47 : 7,700.20 = 1,237.88 : x
  2. Step 2: Convert to fraction form
    5,133.47/7,700.20 = 1,237.88/x
  3. Step 3: Cross multiply
    5,133.47x = 7,700.20 × 1,237.88
  4. Step 4: Simplify right side
    5,133.47x = 9,531,885.08
  5. Step 5: Solve for x
    x = 9,531,885.08/5,133.47
  6. Step 6: Final answer
    x = 1,856.81

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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.