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Finding the Fourth Proportional to 12,840.23, 17,721.55 and 7,806.03

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Solution

The fourth proportional to 12,840.23, 17,721.55 and 7,806.03 is: 10,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.23 : 17,721.55 = 7,806.03 : x
  2. Step 2: Convert to fraction form
    12,840.23/17,721.55 = 7,806.03/x
  3. Step 3: Cross multiply
    12,840.23x = 17,721.55 × 7,806.03
  4. Step 4: Simplify right side
    12,840.23x = 138,334,950.95
  5. Step 5: Solve for x
    x = 138,334,950.95/12,840.23
  6. Step 6: Final answer
    x = 10,773.56

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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.