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Finding the Fourth Proportional to 11,392.56, 15,715.80 and 9,270.42

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Solution

The fourth proportional to 11,392.56, 15,715.80 and 9,270.42 is: 12,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.56 : 15,715.80 = 9,270.42 : x
  2. Step 2: Convert to fraction form
    11,392.56/15,715.80 = 9,270.42/x
  3. Step 3: Cross multiply
    11,392.56x = 15,715.80 × 9,270.42
  4. Step 4: Simplify right side
    11,392.56x = 145,692,066.64
  5. Step 5: Solve for x
    x = 145,692,066.64/11,392.56
  6. Step 6: Final answer
    x = 12,788.35

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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.