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Finding the Fourth Proportional to 2,901.60, 4,353.10 and 953.70

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Solution

The fourth proportional to 2,901.60, 4,353.10 and 953.70 is: 1,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.60 : 4,353.10 = 953.70 : x
  2. Step 2: Convert to fraction form
    2,901.60/4,353.10 = 953.70/x
  3. Step 3: Cross multiply
    2,901.60x = 4,353.10 × 953.70
  4. Step 4: Simplify right side
    2,901.60x = 4,151,551.47
  5. Step 5: Solve for x
    x = 4,151,551.47/2,901.60
  6. Step 6: Final answer
    x = 1,430.78

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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.