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Finding the Fourth Proportional to 6,752.47, 10,128.70 and 1,822.10

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Solution

The fourth proportional to 6,752.47, 10,128.70 and 1,822.10 is: 2,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.47 : 10,128.70 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    6,752.47/10,128.70 = 1,822.10/x
  3. Step 3: Cross multiply
    6,752.47x = 10,128.70 × 1,822.10
  4. Step 4: Simplify right side
    6,752.47x = 18,455,471.48
  5. Step 5: Solve for x
    x = 18,455,471.48/6,752.47
  6. Step 6: Final answer
    x = 2,733.15

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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.