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Finding the Fourth Proportional to 5,661.64, 8,492.16 and 1,765.76

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Solution

The fourth proportional to 5,661.64, 8,492.16 and 1,765.76 is: 2,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.64 : 8,492.16 = 1,765.76 : x
  2. Step 2: Convert to fraction form
    5,661.64/8,492.16 = 1,765.76/x
  3. Step 3: Cross multiply
    5,661.64x = 8,492.16 × 1,765.76
  4. Step 4: Simplify right side
    5,661.64x = 14,995,116.44
  5. Step 5: Solve for x
    x = 14,995,116.44/5,661.64
  6. Step 6: Final answer
    x = 2,648.55

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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.