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Finding the Fourth Proportional to 9,145.86, 13,726.49 and 7,071.45

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Solution

The fourth proportional to 9,145.86, 13,726.49 and 7,071.45 is: 10,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.86 : 13,726.49 = 7,071.45 : x
  2. Step 2: Convert to fraction form
    9,145.86/13,726.49 = 7,071.45/x
  3. Step 3: Cross multiply
    9,145.86x = 13,726.49 × 7,071.45
  4. Step 4: Simplify right side
    9,145.86x = 97,066,152.35
  5. Step 5: Solve for x
    x = 97,066,152.35/9,145.86
  6. Step 6: Final answer
    x = 10,613.12

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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.