Home / 1,407.60-2,111.40-1,378.80

Finding the Fourth Proportional to 1,407.60, 2,111.40 and 1,378.80

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Solution

The fourth proportional to 1,407.60, 2,111.40 and 1,378.80 is: 2,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.60 : 2,111.40 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    1,407.60/2,111.40 = 1,378.80/x
  3. Step 3: Cross multiply
    1,407.60x = 2,111.40 × 1,378.80
  4. Step 4: Simplify right side
    1,407.60x = 2,911,198.32
  5. Step 5: Solve for x
    x = 2,911,198.32/1,407.60
  6. Step 6: Final answer
    x = 2,068.20

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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.