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Finding the Fourth Proportional to 7,886.83, 11,830.17 and 2,340.19

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Solution

The fourth proportional to 7,886.83, 11,830.17 and 2,340.19 is: 3,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.83 : 11,830.17 = 2,340.19 : x
  2. Step 2: Convert to fraction form
    7,886.83/11,830.17 = 2,340.19/x
  3. Step 3: Cross multiply
    7,886.83x = 11,830.17 × 2,340.19
  4. Step 4: Simplify right side
    7,886.83x = 27,684,845.53
  5. Step 5: Solve for x
    x = 27,684,845.53/7,886.83
  6. Step 6: Final answer
    x = 3,510.26

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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.