Home / 1,677.28-2,514.56-1,312.80

Finding the Fourth Proportional to 1,677.28, 2,514.56 and 1,312.80

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Solution

The fourth proportional to 1,677.28, 2,514.56 and 1,312.80 is: 1,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.28 : 2,514.56 = 1,312.80 : x
  2. Step 2: Convert to fraction form
    1,677.28/2,514.56 = 1,312.80/x
  3. Step 3: Cross multiply
    1,677.28x = 2,514.56 × 1,312.80
  4. Step 4: Simplify right side
    1,677.28x = 3,301,114.37
  5. Step 5: Solve for x
    x = 3,301,114.37/1,677.28
  6. Step 6: Final answer
    x = 1,968.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.