Home / 1,577.80-2,364.72-926.92

Finding the Fourth Proportional to 1,577.80, 2,364.72 and 926.92

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Solution

The fourth proportional to 1,577.80, 2,364.72 and 926.92 is: 1,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.80 : 2,364.72 = 926.92 : x
  2. Step 2: Convert to fraction form
    1,577.80/2,364.72 = 926.92/x
  3. Step 3: Cross multiply
    1,577.80x = 2,364.72 × 926.92
  4. Step 4: Simplify right side
    1,577.80x = 2,191,906.26
  5. Step 5: Solve for x
    x = 2,191,906.26/1,577.80
  6. Step 6: Final answer
    x = 1,389.22

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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.