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Finding the Fourth Proportional to 15,876.23, 21,908 and 8,705

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Solution

The fourth proportional to 15,876.23, 21,908 and 8,705 is: 12,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.23 : 21,908 = 8,705 : x
  2. Step 2: Convert to fraction form
    15,876.23/21,908 = 8,705/x
  3. Step 3: Cross multiply
    15,876.23x = 21,908 × 8,705
  4. Step 4: Simplify right side
    15,876.23x = 190,709,140
  5. Step 5: Solve for x
    x = 190,709,140/15,876.23
  6. Step 6: Final answer
    x = 12,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.