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Finding the Fourth Proportional to 1,681.51, 2,521.62 and 803.78

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Solution

The fourth proportional to 1,681.51, 2,521.62 and 803.78 is: 1,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.51 : 2,521.62 = 803.78 : x
  2. Step 2: Convert to fraction form
    1,681.51/2,521.62 = 803.78/x
  3. Step 3: Cross multiply
    1,681.51x = 2,521.62 × 803.78
  4. Step 4: Simplify right side
    1,681.51x = 2,026,824.16
  5. Step 5: Solve for x
    x = 2,026,824.16/1,681.51
  6. Step 6: Final answer
    x = 1,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.