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Finding the Fourth Proportional to 15,840.75, 21,860.24 and 8,768.24

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Solution

The fourth proportional to 15,840.75, 21,860.24 and 8,768.24 is: 12,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.75 : 21,860.24 = 8,768.24 : x
  2. Step 2: Convert to fraction form
    15,840.75/21,860.24 = 8,768.24/x
  3. Step 3: Cross multiply
    15,840.75x = 21,860.24 × 8,768.24
  4. Step 4: Simplify right side
    15,840.75x = 191,675,677.64
  5. Step 5: Solve for x
    x = 191,675,677.64/15,840.75
  6. Step 6: Final answer
    x = 12,100.16

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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.