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Finding the Fourth Proportional to 5,543.64, 8,315.60 and 1,648.08

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Solution

The fourth proportional to 5,543.64, 8,315.60 and 1,648.08 is: 2,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.64 : 8,315.60 = 1,648.08 : x
  2. Step 2: Convert to fraction form
    5,543.64/8,315.60 = 1,648.08/x
  3. Step 3: Cross multiply
    5,543.64x = 8,315.60 × 1,648.08
  4. Step 4: Simplify right side
    5,543.64x = 13,704,765.81
  5. Step 5: Solve for x
    x = 13,704,765.81/5,543.64
  6. Step 6: Final answer
    x = 2,472.16

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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.