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Finding the Fourth Proportional to 5,206.65, 7,811.34 and 1,509.22

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Solution

The fourth proportional to 5,206.65, 7,811.34 and 1,509.22 is: 2,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.65 : 7,811.34 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    5,206.65/7,811.34 = 1,509.22/x
  3. Step 3: Cross multiply
    5,206.65x = 7,811.34 × 1,509.22
  4. Step 4: Simplify right side
    5,206.65x = 11,789,030.55
  5. Step 5: Solve for x
    x = 11,789,030.55/5,206.65
  6. Step 6: Final answer
    x = 2,264.23

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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.