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Finding the Fourth Proportional to 2,509.38, 3,763.80 and 1,533.78

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Solution

The fourth proportional to 2,509.38, 3,763.80 and 1,533.78 is: 2,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.38 : 3,763.80 = 1,533.78 : x
  2. Step 2: Convert to fraction form
    2,509.38/3,763.80 = 1,533.78/x
  3. Step 3: Cross multiply
    2,509.38x = 3,763.80 × 1,533.78
  4. Step 4: Simplify right side
    2,509.38x = 5,772,841.16
  5. Step 5: Solve for x
    x = 5,772,841.16/2,509.38
  6. Step 6: Final answer
    x = 2,300.50

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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.