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Finding the Fourth Proportional to 19,154.64, 28,731.72 and 7,476.06

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Solution

The fourth proportional to 19,154.64, 28,731.72 and 7,476.06 is: 11,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154.64 : 28,731.72 = 7,476.06 : x
  2. Step 2: Convert to fraction form
    19,154.64/28,731.72 = 7,476.06/x
  3. Step 3: Cross multiply
    19,154.64x = 28,731.72 × 7,476.06
  4. Step 4: Simplify right side
    19,154.64x = 214,800,062.62
  5. Step 5: Solve for x
    x = 214,800,062.62/19,154.64
  6. Step 6: Final answer
    x = 11,214.00

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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.