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Finding the Fourth Proportional to 1,866, 2,575.08 and 1,038.16

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Solution

The fourth proportional to 1,866, 2,575.08 and 1,038.16 is: 1,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866 : 2,575.08 = 1,038.16 : x
  2. Step 2: Convert to fraction form
    1,866/2,575.08 = 1,038.16/x
  3. Step 3: Cross multiply
    1,866x = 2,575.08 × 1,038.16
  4. Step 4: Simplify right side
    1,866x = 2,673,345.05
  5. Step 5: Solve for x
    x = 2,673,345.05/1,866
  6. Step 6: Final answer
    x = 1,432.66

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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.