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Finding the Fourth Proportional to 7,806.40, 10,772.40 and 5,940.16

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Solution

The fourth proportional to 7,806.40, 10,772.40 and 5,940.16 is: 8,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.40 : 10,772.40 = 5,940.16 : x
  2. Step 2: Convert to fraction form
    7,806.40/10,772.40 = 5,940.16/x
  3. Step 3: Cross multiply
    7,806.40x = 10,772.40 × 5,940.16
  4. Step 4: Simplify right side
    7,806.40x = 63,989,779.58
  5. Step 5: Solve for x
    x = 63,989,779.58/7,806.40
  6. Step 6: Final answer
    x = 8,197.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.