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Finding the Fourth Proportional to 5,616.40, 8,417.40 and 4,311.40

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Solution

The fourth proportional to 5,616.40, 8,417.40 and 4,311.40 is: 6,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.40 : 8,417.40 = 4,311.40 : x
  2. Step 2: Convert to fraction form
    5,616.40/8,417.40 = 4,311.40/x
  3. Step 3: Cross multiply
    5,616.40x = 8,417.40 × 4,311.40
  4. Step 4: Simplify right side
    5,616.40x = 36,290,778.36
  5. Step 5: Solve for x
    x = 36,290,778.36/5,616.40
  6. Step 6: Final answer
    x = 6,461.57

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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.