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Finding the Fourth Proportional to 28,476.54, 42,730.11 and 11,848.05

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Solution

The fourth proportional to 28,476.54, 42,730.11 and 11,848.05 is: 17,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476.54 : 42,730.11 = 11,848.05 : x
  2. Step 2: Convert to fraction form
    28,476.54/42,730.11 = 11,848.05/x
  3. Step 3: Cross multiply
    28,476.54x = 42,730.11 × 11,848.05
  4. Step 4: Simplify right side
    28,476.54x = 506,268,479.79
  5. Step 5: Solve for x
    x = 506,268,479.79/28,476.54
  6. Step 6: Final answer
    x = 17,778.44

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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.