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Finding the Fourth Proportional to 7,875.67, 11,806.80 and 3,490.74

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Solution

The fourth proportional to 7,875.67, 11,806.80 and 3,490.74 is: 5,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.67 : 11,806.80 = 3,490.74 : x
  2. Step 2: Convert to fraction form
    7,875.67/11,806.80 = 3,490.74/x
  3. Step 3: Cross multiply
    7,875.67x = 11,806.80 × 3,490.74
  4. Step 4: Simplify right side
    7,875.67x = 41,214,410.00
  5. Step 5: Solve for x
    x = 41,214,410.00/7,875.67
  6. Step 6: Final answer
    x = 5,233.13

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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.