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Finding the Fourth Proportional to 10,983, 15,156.78 and 6,015

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Solution

The fourth proportional to 10,983, 15,156.78 and 6,015 is: 8,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983 : 15,156.78 = 6,015 : x
  2. Step 2: Convert to fraction form
    10,983/15,156.78 = 6,015/x
  3. Step 3: Cross multiply
    10,983x = 15,156.78 × 6,015
  4. Step 4: Simplify right side
    10,983x = 91,168,031.70
  5. Step 5: Solve for x
    x = 91,168,031.70/10,983
  6. Step 6: Final answer
    x = 8,300.83

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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.