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Finding the Fourth Proportional to 15,852.83, 21,876.93 and 8,585

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Solution

The fourth proportional to 15,852.83, 21,876.93 and 8,585 is: 11,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.83 : 21,876.93 = 8,585 : x
  2. Step 2: Convert to fraction form
    15,852.83/21,876.93 = 8,585/x
  3. Step 3: Cross multiply
    15,852.83x = 21,876.93 × 8,585
  4. Step 4: Simplify right side
    15,852.83x = 187,813,444.05
  5. Step 5: Solve for x
    x = 187,813,444.05/15,852.83
  6. Step 6: Final answer
    x = 11,847.31

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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.