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Finding the Fourth Proportional to 2,583, 3,875.04 and 1,044

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Solution

The fourth proportional to 2,583, 3,875.04 and 1,044 is: 1,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,875.04 = 1,044 : x
  2. Step 2: Convert to fraction form
    2,583/3,875.04 = 1,044/x
  3. Step 3: Cross multiply
    2,583x = 3,875.04 × 1,044
  4. Step 4: Simplify right side
    2,583x = 4,045,541.76
  5. Step 5: Solve for x
    x = 4,045,541.76/2,583
  6. Step 6: Final answer
    x = 1,566.22

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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.