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Finding the Fourth Proportional to 1,536.12, 2,120.46 and 915

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Solution

The fourth proportional to 1,536.12, 2,120.46 and 915 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.12 : 2,120.46 = 915 : x
  2. Step 2: Convert to fraction form
    1,536.12/2,120.46 = 915/x
  3. Step 3: Cross multiply
    1,536.12x = 2,120.46 × 915
  4. Step 4: Simplify right side
    1,536.12x = 1,940,220.90
  5. Step 5: Solve for x
    x = 1,940,220.90/1,536.12
  6. Step 6: Final answer
    x = 1,263.07

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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.