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Finding the Fourth Proportional to 2,165.90, 2,988.90 and 1,221.77

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Solution

The fourth proportional to 2,165.90, 2,988.90 and 1,221.77 is: 1,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.90 : 2,988.90 = 1,221.77 : x
  2. Step 2: Convert to fraction form
    2,165.90/2,988.90 = 1,221.77/x
  3. Step 3: Cross multiply
    2,165.90x = 2,988.90 × 1,221.77
  4. Step 4: Simplify right side
    2,165.90x = 3,651,733.41
  5. Step 5: Solve for x
    x = 3,651,733.41/2,165.90
  6. Step 6: Final answer
    x = 1,686.02

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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.