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Finding the Fourth Proportional to 10,402.74, 15,601.80 and 3,005.58

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Solution

The fourth proportional to 10,402.74, 15,601.80 and 3,005.58 is: 4,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.74 : 15,601.80 = 3,005.58 : x
  2. Step 2: Convert to fraction form
    10,402.74/15,601.80 = 3,005.58/x
  3. Step 3: Cross multiply
    10,402.74x = 15,601.80 × 3,005.58
  4. Step 4: Simplify right side
    10,402.74x = 46,892,458.04
  5. Step 5: Solve for x
    x = 46,892,458.04/10,402.74
  6. Step 6: Final answer
    x = 4,507.70

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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.