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Finding the Fourth Proportional to 6,344.50, 9,503.18 and 5,153.16

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Solution

The fourth proportional to 6,344.50, 9,503.18 and 5,153.16 is: 7,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.50 : 9,503.18 = 5,153.16 : x
  2. Step 2: Convert to fraction form
    6,344.50/9,503.18 = 5,153.16/x
  3. Step 3: Cross multiply
    6,344.50x = 9,503.18 × 5,153.16
  4. Step 4: Simplify right side
    6,344.50x = 48,971,407.05
  5. Step 5: Solve for x
    x = 48,971,407.05/6,344.50
  6. Step 6: Final answer
    x = 7,718.72

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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.