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Finding the Fourth Proportional to 7,410, 11,117.58 and 3,711.40

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Solution

The fourth proportional to 7,410, 11,117.58 and 3,711.40 is: 5,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410 : 11,117.58 = 3,711.40 : x
  2. Step 2: Convert to fraction form
    7,410/11,117.58 = 3,711.40/x
  3. Step 3: Cross multiply
    7,410x = 11,117.58 × 3,711.40
  4. Step 4: Simplify right side
    7,410x = 41,261,786.41
  5. Step 5: Solve for x
    x = 41,261,786.41/7,410
  6. Step 6: Final answer
    x = 5,568.39

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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.