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Finding the Fourth Proportional to 7,353, 10,147.19 and 4,209.21

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Solution

The fourth proportional to 7,353, 10,147.19 and 4,209.21 is: 5,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353 : 10,147.19 = 4,209.21 : x
  2. Step 2: Convert to fraction form
    7,353/10,147.19 = 4,209.21/x
  3. Step 3: Cross multiply
    7,353x = 10,147.19 × 4,209.21
  4. Step 4: Simplify right side
    7,353x = 42,711,632.57
  5. Step 5: Solve for x
    x = 42,711,632.57/7,353
  6. Step 6: Final answer
    x = 5,808.74

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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.