Home / 5,207.13-7,811.84-1,509.50

Finding the Fourth Proportional to 5,207.13, 7,811.84 and 1,509.50

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Solution

The fourth proportional to 5,207.13, 7,811.84 and 1,509.50 is: 2,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.13 : 7,811.84 = 1,509.50 : x
  2. Step 2: Convert to fraction form
    5,207.13/7,811.84 = 1,509.50/x
  3. Step 3: Cross multiply
    5,207.13x = 7,811.84 × 1,509.50
  4. Step 4: Simplify right side
    5,207.13x = 11,791,995.78
  5. Step 5: Solve for x
    x = 11,791,995.78/5,207.13
  6. Step 6: Final answer
    x = 2,264.59

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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.