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Finding the Fourth Proportional to 7,869.84, 11,808.84 and 3,490.32

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Solution

The fourth proportional to 7,869.84, 11,808.84 and 3,490.32 is: 5,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.84 : 11,808.84 = 3,490.32 : x
  2. Step 2: Convert to fraction form
    7,869.84/11,808.84 = 3,490.32/x
  3. Step 3: Cross multiply
    7,869.84x = 11,808.84 × 3,490.32
  4. Step 4: Simplify right side
    7,869.84x = 41,216,630.43
  5. Step 5: Solve for x
    x = 41,216,630.43/7,869.84
  6. Step 6: Final answer
    x = 5,237.29

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1.5x scale

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.