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Finding the Fourth Proportional to 1,353.17, 1,867.11 and 829.10

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Solution

The fourth proportional to 1,353.17, 1,867.11 and 829.10 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.17 : 1,867.11 = 829.10 : x
  2. Step 2: Convert to fraction form
    1,353.17/1,867.11 = 829.10/x
  3. Step 3: Cross multiply
    1,353.17x = 1,867.11 × 829.10
  4. Step 4: Simplify right side
    1,353.17x = 1,548,020.90
  5. Step 5: Solve for x
    x = 1,548,020.90/1,353.17
  6. Step 6: Final answer
    x = 1,144.00

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1.5x scale

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.