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Finding the Fourth Proportional to 15,855.65, 21,875.18 and 9,477.82

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Solution

The fourth proportional to 15,855.65, 21,875.18 and 9,477.82 is: 13,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.65 : 21,875.18 = 9,477.82 : x
  2. Step 2: Convert to fraction form
    15,855.65/21,875.18 = 9,477.82/x
  3. Step 3: Cross multiply
    15,855.65x = 21,875.18 × 9,477.82
  4. Step 4: Simplify right side
    15,855.65x = 207,328,928.73
  5. Step 5: Solve for x
    x = 207,328,928.73/15,855.65
  6. Step 6: Final answer
    x = 13,076.02

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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.