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Finding the Fourth Proportional to 2,666.64, 3,681.68 and 1,722.86

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Solution

The fourth proportional to 2,666.64, 3,681.68 and 1,722.86 is: 2,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.64 : 3,681.68 = 1,722.86 : x
  2. Step 2: Convert to fraction form
    2,666.64/3,681.68 = 1,722.86/x
  3. Step 3: Cross multiply
    2,666.64x = 3,681.68 × 1,722.86
  4. Step 4: Simplify right side
    2,666.64x = 6,343,019.20
  5. Step 5: Solve for x
    x = 6,343,019.20/2,666.64
  6. Step 6: Final answer
    x = 2,378.66

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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.