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Finding the Fourth Proportional to 1,761.42, 2,430.78 and 975.48

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Solution

The fourth proportional to 1,761.42, 2,430.78 and 975.48 is: 1,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.42 : 2,430.78 = 975.48 : x
  2. Step 2: Convert to fraction form
    1,761.42/2,430.78 = 975.48/x
  3. Step 3: Cross multiply
    1,761.42x = 2,430.78 × 975.48
  4. Step 4: Simplify right side
    1,761.42x = 2,371,177.27
  5. Step 5: Solve for x
    x = 2,371,177.27/1,761.42
  6. Step 6: Final answer
    x = 1,346.17

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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.