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Finding the Fourth Proportional to 1,536.66, 2,292.32 and 1,420.50

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Solution

The fourth proportional to 1,536.66, 2,292.32 and 1,420.50 is: 2,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.66 : 2,292.32 = 1,420.50 : x
  2. Step 2: Convert to fraction form
    1,536.66/2,292.32 = 1,420.50/x
  3. Step 3: Cross multiply
    1,536.66x = 2,292.32 × 1,420.50
  4. Step 4: Simplify right side
    1,536.66x = 3,256,240.56
  5. Step 5: Solve for x
    x = 3,256,240.56/1,536.66
  6. Step 6: Final answer
    x = 2,119.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.