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Finding the Fourth Proportional to 1,815.84, 2,506 and 1,029.92

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Solution

The fourth proportional to 1,815.84, 2,506 and 1,029.92 is: 1,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.84 : 2,506 = 1,029.92 : x
  2. Step 2: Convert to fraction form
    1,815.84/2,506 = 1,029.92/x
  3. Step 3: Cross multiply
    1,815.84x = 2,506 × 1,029.92
  4. Step 4: Simplify right side
    1,815.84x = 2,580,979.52
  5. Step 5: Solve for x
    x = 2,580,979.52/1,815.84
  6. Step 6: Final answer
    x = 1,421.37

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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.