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Finding the Fourth Proportional to 2,509.74, 3,478.12 and 2,474.50

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Solution

The fourth proportional to 2,509.74, 3,478.12 and 2,474.50 is: 3,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.74 : 3,478.12 = 2,474.50 : x
  2. Step 2: Convert to fraction form
    2,509.74/3,478.12 = 2,474.50/x
  3. Step 3: Cross multiply
    2,509.74x = 3,478.12 × 2,474.50
  4. Step 4: Simplify right side
    2,509.74x = 8,606,607.94
  5. Step 5: Solve for x
    x = 8,606,607.94/2,509.74
  6. Step 6: Final answer
    x = 3,429.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.