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Finding the Fourth Proportional to 19,258.36, 28,834.28 and 9,878.15

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Solution

The fourth proportional to 19,258.36, 28,834.28 and 9,878.15 is: 14,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258.36 : 28,834.28 = 9,878.15 : x
  2. Step 2: Convert to fraction form
    19,258.36/28,834.28 = 9,878.15/x
  3. Step 3: Cross multiply
    19,258.36x = 28,834.28 × 9,878.15
  4. Step 4: Simplify right side
    19,258.36x = 284,829,402.72
  5. Step 5: Solve for x
    x = 284,829,402.72/19,258.36
  6. Step 6: Final answer
    x = 14,789.91

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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.