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Finding the Fourth Proportional to 12,501.80, 18,749.70 and 7,225.40

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Solution

The fourth proportional to 12,501.80, 18,749.70 and 7,225.40 is: 10,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.80 : 18,749.70 = 7,225.40 : x
  2. Step 2: Convert to fraction form
    12,501.80/18,749.70 = 7,225.40/x
  3. Step 3: Cross multiply
    12,501.80x = 18,749.70 × 7,225.40
  4. Step 4: Simplify right side
    12,501.80x = 135,474,082.38
  5. Step 5: Solve for x
    x = 135,474,082.38/12,501.80
  6. Step 6: Final answer
    x = 10,836.37

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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.