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Finding the Fourth Proportional to 19,769.34, 29,655.53 and 5,729.57

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Solution

The fourth proportional to 19,769.34, 29,655.53 and 5,729.57 is: 8,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.34 : 29,655.53 = 5,729.57 : x
  2. Step 2: Convert to fraction form
    19,769.34/29,655.53 = 5,729.57/x
  3. Step 3: Cross multiply
    19,769.34x = 29,655.53 × 5,729.57
  4. Step 4: Simplify right side
    19,769.34x = 169,913,301.07
  5. Step 5: Solve for x
    x = 169,913,301.07/19,769.34
  6. Step 6: Final answer
    x = 8,594.79

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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.