Home / 1,577.40-2,359.14-1,405.32

Finding the Fourth Proportional to 1,577.40, 2,359.14 and 1,405.32

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Solution

The fourth proportional to 1,577.40, 2,359.14 and 1,405.32 is: 2,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.40 : 2,359.14 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    1,577.40/2,359.14 = 1,405.32/x
  3. Step 3: Cross multiply
    1,577.40x = 2,359.14 × 1,405.32
  4. Step 4: Simplify right side
    1,577.40x = 3,315,346.62
  5. Step 5: Solve for x
    x = 3,315,346.62/1,577.40
  6. Step 6: Final answer
    x = 2,101.78

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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.