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Finding the Fourth Proportional to 15,078, 20,807.64 and 9,190

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Solution

The fourth proportional to 15,078, 20,807.64 and 9,190 is: 12,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078 : 20,807.64 = 9,190 : x
  2. Step 2: Convert to fraction form
    15,078/20,807.64 = 9,190/x
  3. Step 3: Cross multiply
    15,078x = 20,807.64 × 9,190
  4. Step 4: Simplify right side
    15,078x = 191,222,211.60
  5. Step 5: Solve for x
    x = 191,222,211.60/15,078
  6. Step 6: Final answer
    x = 12,682.20

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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.