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Finding the Fourth Proportional to 5,250.76, 7,870.38 and 2,509

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Solution

The fourth proportional to 5,250.76, 7,870.38 and 2,509 is: 3,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.76 : 7,870.38 = 2,509 : x
  2. Step 2: Convert to fraction form
    5,250.76/7,870.38 = 2,509/x
  3. Step 3: Cross multiply
    5,250.76x = 7,870.38 × 2,509
  4. Step 4: Simplify right side
    5,250.76x = 19,746,783.42
  5. Step 5: Solve for x
    x = 19,746,783.42/5,250.76
  6. Step 6: Final answer
    x = 3,760.75

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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.