Home / 1,540.80-2,307.52-1,106.56

Finding the Fourth Proportional to 1,540.80, 2,307.52 and 1,106.56

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Solution

The fourth proportional to 1,540.80, 2,307.52 and 1,106.56 is: 1,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.80 : 2,307.52 = 1,106.56 : x
  2. Step 2: Convert to fraction form
    1,540.80/2,307.52 = 1,106.56/x
  3. Step 3: Cross multiply
    1,540.80x = 2,307.52 × 1,106.56
  4. Step 4: Simplify right side
    1,540.80x = 2,553,409.33
  5. Step 5: Solve for x
    x = 2,553,409.33/1,540.80
  6. Step 6: Final answer
    x = 1,657.20

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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.