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Finding the Fourth Proportional to 30,397.72, 45,565.40 and 11,672.72

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Solution

The fourth proportional to 30,397.72, 45,565.40 and 11,672.72 is: 17,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.72 : 45,565.40 = 11,672.72 : x
  2. Step 2: Convert to fraction form
    30,397.72/45,565.40 = 11,672.72/x
  3. Step 3: Cross multiply
    30,397.72x = 45,565.40 × 11,672.72
  4. Step 4: Simplify right side
    30,397.72x = 531,871,928.06
  5. Step 5: Solve for x
    x = 531,871,928.06/30,397.72
  6. Step 6: Final answer
    x = 17,497.10

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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.