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Finding the Fourth Proportional to 13,065.86, 18,031.07 and 7,400.46

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Solution

The fourth proportional to 13,065.86, 18,031.07 and 7,400.46 is: 10,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.86 : 18,031.07 = 7,400.46 : x
  2. Step 2: Convert to fraction form
    13,065.86/18,031.07 = 7,400.46/x
  3. Step 3: Cross multiply
    13,065.86x = 18,031.07 × 7,400.46
  4. Step 4: Simplify right side
    13,065.86x = 133,438,298.41
  5. Step 5: Solve for x
    x = 133,438,298.41/13,065.86
  6. Step 6: Final answer
    x = 10,212.75

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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.