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Finding the Fourth Proportional to 15,469.76, 21,346.08 and 9,184.64

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Solution

The fourth proportional to 15,469.76, 21,346.08 and 9,184.64 is: 12,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.76 : 21,346.08 = 9,184.64 : x
  2. Step 2: Convert to fraction form
    15,469.76/21,346.08 = 9,184.64/x
  3. Step 3: Cross multiply
    15,469.76x = 21,346.08 × 9,184.64
  4. Step 4: Simplify right side
    15,469.76x = 196,056,060.21
  5. Step 5: Solve for x
    x = 196,056,060.21/15,469.76
  6. Step 6: Final answer
    x = 12,673.50

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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.