Home / 5,053.32-7,580-1,766.42

Finding the Fourth Proportional to 5,053.32, 7,580 and 1,766.42

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Solution

The fourth proportional to 5,053.32, 7,580 and 1,766.42 is: 2,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.32 : 7,580 = 1,766.42 : x
  2. Step 2: Convert to fraction form
    5,053.32/7,580 = 1,766.42/x
  3. Step 3: Cross multiply
    5,053.32x = 7,580 × 1,766.42
  4. Step 4: Simplify right side
    5,053.32x = 13,389,463.60
  5. Step 5: Solve for x
    x = 13,389,463.60/5,053.32
  6. Step 6: Final answer
    x = 2,649.64

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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.