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Finding the Fourth Proportional to 2,509, 3,763.50 and 2,356.76

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Solution

The fourth proportional to 2,509, 3,763.50 and 2,356.76 is: 3,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509 : 3,763.50 = 2,356.76 : x
  2. Step 2: Convert to fraction form
    2,509/3,763.50 = 2,356.76/x
  3. Step 3: Cross multiply
    2,509x = 3,763.50 × 2,356.76
  4. Step 4: Simplify right side
    2,509x = 8,869,666.26
  5. Step 5: Solve for x
    x = 8,869,666.26/2,509
  6. Step 6: Final answer
    x = 3,535.14

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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.