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Finding the Fourth Proportional to 9,924.80, 14,869.20 and 7,858.40

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Solution

The fourth proportional to 9,924.80, 14,869.20 and 7,858.40 is: 11,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.80 : 14,869.20 = 7,858.40 : x
  2. Step 2: Convert to fraction form
    9,924.80/14,869.20 = 7,858.40/x
  3. Step 3: Cross multiply
    9,924.80x = 14,869.20 × 7,858.40
  4. Step 4: Simplify right side
    9,924.80x = 116,848,121.28
  5. Step 5: Solve for x
    x = 116,848,121.28/9,924.80
  6. Step 6: Final answer
    x = 11,773.35

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1.5x scale

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.