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Finding the Fourth Proportional to 1,681.09, 2,319.92 and 935.06

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Solution

The fourth proportional to 1,681.09, 2,319.92 and 935.06 is: 1,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.09 : 2,319.92 = 935.06 : x
  2. Step 2: Convert to fraction form
    1,681.09/2,319.92 = 935.06/x
  3. Step 3: Cross multiply
    1,681.09x = 2,319.92 × 935.06
  4. Step 4: Simplify right side
    1,681.09x = 2,169,260.33
  5. Step 5: Solve for x
    x = 2,169,260.33/1,681.09
  6. Step 6: Final answer
    x = 1,290.39

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1.5x scale

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.