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Finding the Fourth Proportional to 13,176.64, 19,724.64 and 9,478.72

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Solution

The fourth proportional to 13,176.64, 19,724.64 and 9,478.72 is: 14,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.64 : 19,724.64 = 9,478.72 : x
  2. Step 2: Convert to fraction form
    13,176.64/19,724.64 = 9,478.72/x
  3. Step 3: Cross multiply
    13,176.64x = 19,724.64 × 9,478.72
  4. Step 4: Simplify right side
    13,176.64x = 186,964,339.66
  5. Step 5: Solve for x
    x = 186,964,339.66/13,176.64
  6. Step 6: Final answer
    x = 14,189.08

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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.