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Finding the Fourth Proportional to 7,140.88, 9,851.88 and 4,652.56

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Solution

The fourth proportional to 7,140.88, 9,851.88 and 4,652.56 is: 6,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.88 : 9,851.88 = 4,652.56 : x
  2. Step 2: Convert to fraction form
    7,140.88/9,851.88 = 4,652.56/x
  3. Step 3: Cross multiply
    7,140.88x = 9,851.88 × 4,652.56
  4. Step 4: Simplify right side
    7,140.88x = 45,836,462.81
  5. Step 5: Solve for x
    x = 45,836,462.81/7,140.88
  6. Step 6: Final answer
    x = 6,418.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.