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Finding the Fourth Proportional to 1,312.80, 1,966.80 and 1,106.40

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Solution

The fourth proportional to 1,312.80, 1,966.80 and 1,106.40 is: 1,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.80 : 1,966.80 = 1,106.40 : x
  2. Step 2: Convert to fraction form
    1,312.80/1,966.80 = 1,106.40/x
  3. Step 3: Cross multiply
    1,312.80x = 1,966.80 × 1,106.40
  4. Step 4: Simplify right side
    1,312.80x = 2,176,067.52
  5. Step 5: Solve for x
    x = 2,176,067.52/1,312.80
  6. Step 6: Final answer
    x = 1,657.58

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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.