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Finding the Fourth Proportional to 1,530.57, 2,112.36 and 909.57

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Solution

The fourth proportional to 1,530.57, 2,112.36 and 909.57 is: 1,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.57 : 2,112.36 = 909.57 : x
  2. Step 2: Convert to fraction form
    1,530.57/2,112.36 = 909.57/x
  3. Step 3: Cross multiply
    1,530.57x = 2,112.36 × 909.57
  4. Step 4: Simplify right side
    1,530.57x = 1,921,339.29
  5. Step 5: Solve for x
    x = 1,921,339.29/1,530.57
  6. Step 6: Final answer
    x = 1,255.31

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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.