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Finding the Fourth Proportional to 15,384.62, 23,084.16 and 7,985.06

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Solution

The fourth proportional to 15,384.62, 23,084.16 and 7,985.06 is: 11,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.62 : 23,084.16 = 7,985.06 : x
  2. Step 2: Convert to fraction form
    15,384.62/23,084.16 = 7,985.06/x
  3. Step 3: Cross multiply
    15,384.62x = 23,084.16 × 7,985.06
  4. Step 4: Simplify right side
    15,384.62x = 184,328,402.65
  5. Step 5: Solve for x
    x = 184,328,402.65/15,384.62
  6. Step 6: Final answer
    x = 11,981.34

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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.