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Finding the Fourth Proportional to 11,423.69, 15,769.05 and 7,445.78

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Solution

The fourth proportional to 11,423.69, 15,769.05 and 7,445.78 is: 10,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.69 : 15,769.05 = 7,445.78 : x
  2. Step 2: Convert to fraction form
    11,423.69/15,769.05 = 7,445.78/x
  3. Step 3: Cross multiply
    11,423.69x = 15,769.05 × 7,445.78
  4. Step 4: Simplify right side
    11,423.69x = 117,412,877.11
  5. Step 5: Solve for x
    x = 117,412,877.11/11,423.69
  6. Step 6: Final answer
    x = 10,278.02

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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.