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Finding the Fourth Proportional to 14,325.78, 19,770.78 and 8,357.84

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Solution

The fourth proportional to 14,325.78, 19,770.78 and 8,357.84 is: 11,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.78 : 19,770.78 = 8,357.84 : x
  2. Step 2: Convert to fraction form
    14,325.78/19,770.78 = 8,357.84/x
  3. Step 3: Cross multiply
    14,325.78x = 19,770.78 × 8,357.84
  4. Step 4: Simplify right side
    14,325.78x = 165,241,015.92
  5. Step 5: Solve for x
    x = 165,241,015.92/14,325.78
  6. Step 6: Final answer
    x = 11,534.52

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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.