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Finding the Fourth Proportional to 9,504.42, 14,257.42 and 3,502.13

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Solution

The fourth proportional to 9,504.42, 14,257.42 and 3,502.13 is: 5,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.42 : 14,257.42 = 3,502.13 : x
  2. Step 2: Convert to fraction form
    9,504.42/14,257.42 = 3,502.13/x
  3. Step 3: Cross multiply
    9,504.42x = 14,257.42 × 3,502.13
  4. Step 4: Simplify right side
    9,504.42x = 49,931,267.02
  5. Step 5: Solve for x
    x = 49,931,267.02/9,504.42
  6. Step 6: Final answer
    x = 5,253.48

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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.