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Finding the Fourth Proportional to 10,135.66, 15,294.88 and 9,769.54

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Solution

The fourth proportional to 10,135.66, 15,294.88 and 9,769.54 is: 14,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.66 : 15,294.88 = 9,769.54 : x
  2. Step 2: Convert to fraction form
    10,135.66/15,294.88 = 9,769.54/x
  3. Step 3: Cross multiply
    10,135.66x = 15,294.88 × 9,769.54
  4. Step 4: Simplify right side
    10,135.66x = 149,423,941.96
  5. Step 5: Solve for x
    x = 149,423,941.96/10,135.66
  6. Step 6: Final answer
    x = 14,742.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.