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Finding the Fourth Proportional to 15,219.65, 22,829.48 and 7,421.78

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Solution

The fourth proportional to 15,219.65, 22,829.48 and 7,421.78 is: 11,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.65 : 22,829.48 = 7,421.78 : x
  2. Step 2: Convert to fraction form
    15,219.65/22,829.48 = 7,421.78/x
  3. Step 3: Cross multiply
    15,219.65x = 22,829.48 × 7,421.78
  4. Step 4: Simplify right side
    15,219.65x = 169,435,378.07
  5. Step 5: Solve for x
    x = 169,435,378.07/15,219.65
  6. Step 6: Final answer
    x = 11,132.67

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Similar ratio
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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.