Home / 5,206.83-7,810.64-1,509.11

Finding the Fourth Proportional to 5,206.83, 7,810.64 and 1,509.11

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Solution

The fourth proportional to 5,206.83, 7,810.64 and 1,509.11 is: 2,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.83 : 7,810.64 = 1,509.11 : x
  2. Step 2: Convert to fraction form
    5,206.83/7,810.64 = 1,509.11/x
  3. Step 3: Cross multiply
    5,206.83x = 7,810.64 × 1,509.11
  4. Step 4: Simplify right side
    5,206.83x = 11,787,114.93
  5. Step 5: Solve for x
    x = 11,787,114.93/5,206.83
  6. Step 6: Final answer
    x = 2,263.78

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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.