Home / 1,405.14-2,104.80-964.90

Finding the Fourth Proportional to 1,405.14, 2,104.80 and 964.90

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Solution

The fourth proportional to 1,405.14, 2,104.80 and 964.90 is: 1,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.14 : 2,104.80 = 964.90 : x
  2. Step 2: Convert to fraction form
    1,405.14/2,104.80 = 964.90/x
  3. Step 3: Cross multiply
    1,405.14x = 2,104.80 × 964.90
  4. Step 4: Simplify right side
    1,405.14x = 2,030,921.52
  5. Step 5: Solve for x
    x = 2,030,921.52/1,405.14
  6. Step 6: Final answer
    x = 1,445.35

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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.