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Finding the Fourth Proportional to 12,984, 19,477.92 and 6,054.72

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Solution

The fourth proportional to 12,984, 19,477.92 and 6,054.72 is: 9,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 19,477.92 = 6,054.72 : x
  2. Step 2: Convert to fraction form
    12,984/19,477.92 = 6,054.72/x
  3. Step 3: Cross multiply
    12,984x = 19,477.92 × 6,054.72
  4. Step 4: Simplify right side
    12,984x = 117,933,351.78
  5. Step 5: Solve for x
    x = 117,933,351.78/12,984
  6. Step 6: Final answer
    x = 9,082.98

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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.