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Finding the Fourth Proportional to 7,805.66, 11,707.62 and 1,962.30

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Solution

The fourth proportional to 7,805.66, 11,707.62 and 1,962.30 is: 2,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.66 : 11,707.62 = 1,962.30 : x
  2. Step 2: Convert to fraction form
    7,805.66/11,707.62 = 1,962.30/x
  3. Step 3: Cross multiply
    7,805.66x = 11,707.62 × 1,962.30
  4. Step 4: Simplify right side
    7,805.66x = 22,973,862.73
  5. Step 5: Solve for x
    x = 22,973,862.73/7,805.66
  6. Step 6: Final answer
    x = 2,943.23

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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.