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Finding the Fourth Proportional to 30,202.60, 45,279.76 and 10,471

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Solution

The fourth proportional to 30,202.60, 45,279.76 and 10,471 is: 15,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.60 : 45,279.76 = 10,471 : x
  2. Step 2: Convert to fraction form
    30,202.60/45,279.76 = 10,471/x
  3. Step 3: Cross multiply
    30,202.60x = 45,279.76 × 10,471
  4. Step 4: Simplify right side
    30,202.60x = 474,124,366.96
  5. Step 5: Solve for x
    x = 474,124,366.96/30,202.60
  6. Step 6: Final answer
    x = 15,698.13

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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.