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Finding the Fourth Proportional to 2,666.81, 3,679.20 and 1,547.12

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Solution

The fourth proportional to 2,666.81, 3,679.20 and 1,547.12 is: 2,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.81 : 3,679.20 = 1,547.12 : x
  2. Step 2: Convert to fraction form
    2,666.81/3,679.20 = 1,547.12/x
  3. Step 3: Cross multiply
    2,666.81x = 3,679.20 × 1,547.12
  4. Step 4: Simplify right side
    2,666.81x = 5,692,145.51
  5. Step 5: Solve for x
    x = 5,692,145.51/2,666.81
  6. Step 6: Final answer
    x = 2,134.44

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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.