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Finding the Fourth Proportional to 10,518.42, 15,774.42 and 8,664.93

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Solution

The fourth proportional to 10,518.42, 15,774.42 and 8,664.93 is: 12,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.42 : 15,774.42 = 8,664.93 : x
  2. Step 2: Convert to fraction form
    10,518.42/15,774.42 = 8,664.93/x
  3. Step 3: Cross multiply
    10,518.42x = 15,774.42 × 8,664.93
  4. Step 4: Simplify right side
    10,518.42x = 136,684,245.09
  5. Step 5: Solve for x
    x = 136,684,245.09/10,518.42
  6. Step 6: Final answer
    x = 12,994.75

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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.