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Finding the Fourth Proportional to 15,840.78, 21,860.74 and 8,767.86

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Solution

The fourth proportional to 15,840.78, 21,860.74 and 8,767.86 is: 12,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.78 : 21,860.74 = 8,767.86 : x
  2. Step 2: Convert to fraction form
    15,840.78/21,860.74 = 8,767.86/x
  3. Step 3: Cross multiply
    15,840.78x = 21,860.74 × 8,767.86
  4. Step 4: Simplify right side
    15,840.78x = 191,671,907.82
  5. Step 5: Solve for x
    x = 191,671,907.82/15,840.78
  6. Step 6: Final answer
    x = 12,099.90

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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.