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Finding the Fourth Proportional to 13,446.80, 18,557.24 and 7,478.48

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Solution

The fourth proportional to 13,446.80, 18,557.24 and 7,478.48 is: 10,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.80 : 18,557.24 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    13,446.80/18,557.24 = 7,478.48/x
  3. Step 3: Cross multiply
    13,446.80x = 18,557.24 × 7,478.48
  4. Step 4: Simplify right side
    13,446.80x = 138,779,948.20
  5. Step 5: Solve for x
    x = 138,779,948.20/13,446.80
  6. Step 6: Final answer
    x = 10,320.67

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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.