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Finding the Fourth Proportional to 3,569.67, 5,353.29 and 1,228.77

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Solution

The fourth proportional to 3,569.67, 5,353.29 and 1,228.77 is: 1,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.67 : 5,353.29 = 1,228.77 : x
  2. Step 2: Convert to fraction form
    3,569.67/5,353.29 = 1,228.77/x
  3. Step 3: Cross multiply
    3,569.67x = 5,353.29 × 1,228.77
  4. Step 4: Simplify right side
    3,569.67x = 6,577,962.15
  5. Step 5: Solve for x
    x = 6,577,962.15/3,569.67
  6. Step 6: Final answer
    x = 1,842.74

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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.