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Finding the Fourth Proportional to 10,260, 15,390.72 and 3,505.68

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Solution

The fourth proportional to 10,260, 15,390.72 and 3,505.68 is: 5,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260 : 15,390.72 = 3,505.68 : x
  2. Step 2: Convert to fraction form
    10,260/15,390.72 = 3,505.68/x
  3. Step 3: Cross multiply
    10,260x = 15,390.72 × 3,505.68
  4. Step 4: Simplify right side
    10,260x = 53,954,939.29
  5. Step 5: Solve for x
    x = 53,954,939.29/10,260
  6. Step 6: Final answer
    x = 5,258.77

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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.