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Finding the Fourth Proportional to 2,364.76, 3,547.14 and 1,128.43

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Solution

The fourth proportional to 2,364.76, 3,547.14 and 1,128.43 is: 1,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.76 : 3,547.14 = 1,128.43 : x
  2. Step 2: Convert to fraction form
    2,364.76/3,547.14 = 1,128.43/x
  3. Step 3: Cross multiply
    2,364.76x = 3,547.14 × 1,128.43
  4. Step 4: Simplify right side
    2,364.76x = 4,002,699.19
  5. Step 5: Solve for x
    x = 4,002,699.19/2,364.76
  6. Step 6: Final answer
    x = 1,692.65

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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.