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Finding the Fourth Proportional to 2,666.90, 3,680.65 and 1,547.59

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Solution

The fourth proportional to 2,666.90, 3,680.65 and 1,547.59 is: 2,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.90 : 3,680.65 = 1,547.59 : x
  2. Step 2: Convert to fraction form
    2,666.90/3,680.65 = 1,547.59/x
  3. Step 3: Cross multiply
    2,666.90x = 3,680.65 × 1,547.59
  4. Step 4: Simplify right side
    2,666.90x = 5,696,142.47
  5. Step 5: Solve for x
    x = 5,696,142.47/2,666.90
  6. Step 6: Final answer
    x = 2,135.87

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1.5x scale

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.