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Finding the Fourth Proportional to 19,258, 28,887 and 5,407

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Solution

The fourth proportional to 19,258, 28,887 and 5,407 is: 8,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 28,887 = 5,407 : x
  2. Step 2: Convert to fraction form
    19,258/28,887 = 5,407/x
  3. Step 3: Cross multiply
    19,258x = 28,887 × 5,407
  4. Step 4: Simplify right side
    19,258x = 156,192,009
  5. Step 5: Solve for x
    x = 156,192,009/19,258
  6. Step 6: Final answer
    x = 8,110.50

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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.