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Finding the Fourth Proportional to 8,584.32, 11,848.32 and 7,184.64

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Solution

The fourth proportional to 8,584.32, 11,848.32 and 7,184.64 is: 9,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.32 : 11,848.32 = 7,184.64 : x
  2. Step 2: Convert to fraction form
    8,584.32/11,848.32 = 7,184.64/x
  3. Step 3: Cross multiply
    8,584.32x = 11,848.32 × 7,184.64
  4. Step 4: Simplify right side
    8,584.32x = 85,125,913.80
  5. Step 5: Solve for x
    x = 85,125,913.80/8,584.32
  6. Step 6: Final answer
    x = 9,916.44

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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.