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Finding the Fourth Proportional to 15,903.69, 21,947.13 and 8,830.50

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Solution

The fourth proportional to 15,903.69, 21,947.13 and 8,830.50 is: 12,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.69 : 21,947.13 = 8,830.50 : x
  2. Step 2: Convert to fraction form
    15,903.69/21,947.13 = 8,830.50/x
  3. Step 3: Cross multiply
    15,903.69x = 21,947.13 × 8,830.50
  4. Step 4: Simplify right side
    15,903.69x = 193,804,131.47
  5. Step 5: Solve for x
    x = 193,804,131.47/15,903.69
  6. Step 6: Final answer
    x = 12,186.11

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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.