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Finding the Fourth Proportional to 2,186.01, 3,278.30 and 869.32

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Solution

The fourth proportional to 2,186.01, 3,278.30 and 869.32 is: 1,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.01 : 3,278.30 = 869.32 : x
  2. Step 2: Convert to fraction form
    2,186.01/3,278.30 = 869.32/x
  3. Step 3: Cross multiply
    2,186.01x = 3,278.30 × 869.32
  4. Step 4: Simplify right side
    2,186.01x = 2,849,893.93
  5. Step 5: Solve for x
    x = 2,849,893.93/2,186.01
  6. Step 6: Final answer
    x = 1,303.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.