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Finding the Fourth Proportional to 5,206.76, 7,811.35 and 1,509.06

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Solution

The fourth proportional to 5,206.76, 7,811.35 and 1,509.06 is: 2,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.76 : 7,811.35 = 1,509.06 : x
  2. Step 2: Convert to fraction form
    5,206.76/7,811.35 = 1,509.06/x
  3. Step 3: Cross multiply
    5,206.76x = 7,811.35 × 1,509.06
  4. Step 4: Simplify right side
    5,206.76x = 11,787,795.83
  5. Step 5: Solve for x
    x = 11,787,795.83/5,206.76
  6. Step 6: Final answer
    x = 2,263.94

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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.