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Finding the Fourth Proportional to 10,496.39, 15,740.80 and 3,475.10

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Solution

The fourth proportional to 10,496.39, 15,740.80 and 3,475.10 is: 5,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.39 : 15,740.80 = 3,475.10 : x
  2. Step 2: Convert to fraction form
    10,496.39/15,740.80 = 3,475.10/x
  3. Step 3: Cross multiply
    10,496.39x = 15,740.80 × 3,475.10
  4. Step 4: Simplify right side
    10,496.39x = 54,700,884.74
  5. Step 5: Solve for x
    x = 54,700,884.74/10,496.39
  6. Step 6: Final answer
    x = 5,211.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.