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Finding the Fourth Proportional to 1,566.04, 2,161.20 and 867.40

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Solution

The fourth proportional to 1,566.04, 2,161.20 and 867.40 is: 1,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.04 : 2,161.20 = 867.40 : x
  2. Step 2: Convert to fraction form
    1,566.04/2,161.20 = 867.40/x
  3. Step 3: Cross multiply
    1,566.04x = 2,161.20 × 867.40
  4. Step 4: Simplify right side
    1,566.04x = 1,874,624.88
  5. Step 5: Solve for x
    x = 1,874,624.88/1,566.04
  6. Step 6: Final answer
    x = 1,197.05

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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.