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Finding the Fourth Proportional to 1,875.78, 2,803.29 and 1,383.19

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Solution

The fourth proportional to 1,875.78, 2,803.29 and 1,383.19 is: 2,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.78 : 2,803.29 = 1,383.19 : x
  2. Step 2: Convert to fraction form
    1,875.78/2,803.29 = 1,383.19/x
  3. Step 3: Cross multiply
    1,875.78x = 2,803.29 × 1,383.19
  4. Step 4: Simplify right side
    1,875.78x = 3,877,488.17
  5. Step 5: Solve for x
    x = 3,877,488.17/1,875.78
  6. Step 6: Final answer
    x = 2,067.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.