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Finding the Fourth Proportional to 1,412.40, 1,948.14 and 887.88

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Solution

The fourth proportional to 1,412.40, 1,948.14 and 887.88 is: 1,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.40 : 1,948.14 = 887.88 : x
  2. Step 2: Convert to fraction form
    1,412.40/1,948.14 = 887.88/x
  3. Step 3: Cross multiply
    1,412.40x = 1,948.14 × 887.88
  4. Step 4: Simplify right side
    1,412.40x = 1,729,714.54
  5. Step 5: Solve for x
    x = 1,729,714.54/1,412.40
  6. Step 6: Final answer
    x = 1,224.66

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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.