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Finding the Fourth Proportional to 5,751.17, 8,628.57 and 1,855.88

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Solution

The fourth proportional to 5,751.17, 8,628.57 and 1,855.88 is: 2,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.17 : 8,628.57 = 1,855.88 : x
  2. Step 2: Convert to fraction form
    5,751.17/8,628.57 = 1,855.88/x
  3. Step 3: Cross multiply
    5,751.17x = 8,628.57 × 1,855.88
  4. Step 4: Simplify right side
    5,751.17x = 16,013,547.35
  5. Step 5: Solve for x
    x = 16,013,547.35/5,751.17
  6. Step 6: Final answer
    x = 2,784.40

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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.