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Finding the Fourth Proportional to 1,502.42, 2,072.78 and 942.68

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Solution

The fourth proportional to 1,502.42, 2,072.78 and 942.68 is: 1,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.42 : 2,072.78 = 942.68 : x
  2. Step 2: Convert to fraction form
    1,502.42/2,072.78 = 942.68/x
  3. Step 3: Cross multiply
    1,502.42x = 2,072.78 × 942.68
  4. Step 4: Simplify right side
    1,502.42x = 1,953,966.42
  5. Step 5: Solve for x
    x = 1,953,966.42/1,502.42
  6. Step 6: Final answer
    x = 1,300.55

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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.