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Finding the Fourth Proportional to 1,585.32, 2,187.62 and 877.17

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Solution

The fourth proportional to 1,585.32, 2,187.62 and 877.17 is: 1,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.32 : 2,187.62 = 877.17 : x
  2. Step 2: Convert to fraction form
    1,585.32/2,187.62 = 877.17/x
  3. Step 3: Cross multiply
    1,585.32x = 2,187.62 × 877.17
  4. Step 4: Simplify right side
    1,585.32x = 1,918,914.64
  5. Step 5: Solve for x
    x = 1,918,914.64/1,585.32
  6. Step 6: Final answer
    x = 1,210.43

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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.