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Finding the Fourth Proportional to 1,430.97, 1,972.86 and 1,010.88

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Solution

The fourth proportional to 1,430.97, 1,972.86 and 1,010.88 is: 1,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.97 : 1,972.86 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    1,430.97/1,972.86 = 1,010.88/x
  3. Step 3: Cross multiply
    1,430.97x = 1,972.86 × 1,010.88
  4. Step 4: Simplify right side
    1,430.97x = 1,994,320.93
  5. Step 5: Solve for x
    x = 1,994,320.93/1,430.97
  6. Step 6: Final answer
    x = 1,393.69

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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.