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Finding the Fourth Proportional to 9,613.85, 13,264.85 and 5,421.29

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Solution

The fourth proportional to 9,613.85, 13,264.85 and 5,421.29 is: 7,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.85 : 13,264.85 = 5,421.29 : x
  2. Step 2: Convert to fraction form
    9,613.85/13,264.85 = 5,421.29/x
  3. Step 3: Cross multiply
    9,613.85x = 13,264.85 × 5,421.29
  4. Step 4: Simplify right side
    9,613.85x = 71,912,571.55
  5. Step 5: Solve for x
    x = 71,912,571.55/9,613.85
  6. Step 6: Final answer
    x = 7,480.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.