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Finding the Fourth Proportional to 6,549.66, 9,822.60 and 2,851.20

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Solution

The fourth proportional to 6,549.66, 9,822.60 and 2,851.20 is: 4,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.66 : 9,822.60 = 2,851.20 : x
  2. Step 2: Convert to fraction form
    6,549.66/9,822.60 = 2,851.20/x
  3. Step 3: Cross multiply
    6,549.66x = 9,822.60 × 2,851.20
  4. Step 4: Simplify right side
    6,549.66x = 28,006,197.12
  5. Step 5: Solve for x
    x = 28,006,197.12/6,549.66
  6. Step 6: Final answer
    x = 4,275.98

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1.5x scale

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.