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Finding the Fourth Proportional to 1,681.74, 2,321.61 and 1,009.77

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Solution

The fourth proportional to 1,681.74, 2,321.61 and 1,009.77 is: 1,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.74 : 2,321.61 = 1,009.77 : x
  2. Step 2: Convert to fraction form
    1,681.74/2,321.61 = 1,009.77/x
  3. Step 3: Cross multiply
    1,681.74x = 2,321.61 × 1,009.77
  4. Step 4: Simplify right side
    1,681.74x = 2,344,292.13
  5. Step 5: Solve for x
    x = 2,344,292.13/1,681.74
  6. Step 6: Final answer
    x = 1,393.97

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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.