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Finding the Fourth Proportional to 1,530.60, 2,112.36 and 901.11

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Solution

The fourth proportional to 1,530.60, 2,112.36 and 901.11 is: 1,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.60 : 2,112.36 = 901.11 : x
  2. Step 2: Convert to fraction form
    1,530.60/2,112.36 = 901.11/x
  3. Step 3: Cross multiply
    1,530.60x = 2,112.36 × 901.11
  4. Step 4: Simplify right side
    1,530.60x = 1,903,468.72
  5. Step 5: Solve for x
    x = 1,903,468.72/1,530.60
  6. Step 6: Final answer
    x = 1,243.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.