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Finding the Fourth Proportional to 13,750, 18,975.34 and 7,462.36

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Solution

The fourth proportional to 13,750, 18,975.34 and 7,462.36 is: 10,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750 : 18,975.34 = 7,462.36 : x
  2. Step 2: Convert to fraction form
    13,750/18,975.34 = 7,462.36/x
  3. Step 3: Cross multiply
    13,750x = 18,975.34 × 7,462.36
  4. Step 4: Simplify right side
    13,750x = 141,600,818.20
  5. Step 5: Solve for x
    x = 141,600,818.20/13,750
  6. Step 6: Final answer
    x = 10,298.24

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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.