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Finding the Fourth Proportional to 1,544.76, 2,131.14 and 881.49

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Solution

The fourth proportional to 1,544.76, 2,131.14 and 881.49 is: 1,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.76 : 2,131.14 = 881.49 : x
  2. Step 2: Convert to fraction form
    1,544.76/2,131.14 = 881.49/x
  3. Step 3: Cross multiply
    1,544.76x = 2,131.14 × 881.49
  4. Step 4: Simplify right side
    1,544.76x = 1,878,578.60
  5. Step 5: Solve for x
    x = 1,878,578.60/1,544.76
  6. Step 6: Final answer
    x = 1,216.10

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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.