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Finding the Fourth Proportional to 1,681.32, 2,320.02 and 935.09

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Solution

The fourth proportional to 1,681.32, 2,320.02 and 935.09 is: 1,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.32 : 2,320.02 = 935.09 : x
  2. Step 2: Convert to fraction form
    1,681.32/2,320.02 = 935.09/x
  3. Step 3: Cross multiply
    1,681.32x = 2,320.02 × 935.09
  4. Step 4: Simplify right side
    1,681.32x = 2,169,427.50
  5. Step 5: Solve for x
    x = 2,169,427.50/1,681.32
  6. Step 6: Final answer
    x = 1,290.31

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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.