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Finding the Fourth Proportional to 2,666.75, 3,680.87 and 1,547.93

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Solution

The fourth proportional to 2,666.75, 3,680.87 and 1,547.93 is: 2,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.75 : 3,680.87 = 1,547.93 : x
  2. Step 2: Convert to fraction form
    2,666.75/3,680.87 = 1,547.93/x
  3. Step 3: Cross multiply
    2,666.75x = 3,680.87 × 1,547.93
  4. Step 4: Simplify right side
    2,666.75x = 5,697,702.96
  5. Step 5: Solve for x
    x = 5,697,702.96/2,666.75
  6. Step 6: Final answer
    x = 2,136.58

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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.