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Finding the Fourth Proportional to 19,283.72, 28,906.14 and 14,657

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Solution

The fourth proportional to 19,283.72, 28,906.14 and 14,657 is: 21,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283.72 : 28,906.14 = 14,657 : x
  2. Step 2: Convert to fraction form
    19,283.72/28,906.14 = 14,657/x
  3. Step 3: Cross multiply
    19,283.72x = 28,906.14 × 14,657
  4. Step 4: Simplify right side
    19,283.72x = 423,677,293.98
  5. Step 5: Solve for x
    x = 423,677,293.98/19,283.72
  6. Step 6: Final answer
    x = 21,970.72

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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.