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Finding the Fourth Proportional to 1,584.76, 2,187.08 and 886.28

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Solution

The fourth proportional to 1,584.76, 2,187.08 and 886.28 is: 1,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.76 : 2,187.08 = 886.28 : x
  2. Step 2: Convert to fraction form
    1,584.76/2,187.08 = 886.28/x
  3. Step 3: Cross multiply
    1,584.76x = 2,187.08 × 886.28
  4. Step 4: Simplify right side
    1,584.76x = 1,938,365.26
  5. Step 5: Solve for x
    x = 1,938,365.26/1,584.76
  6. Step 6: Final answer
    x = 1,223.13

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Half scale
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Double scale
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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.