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Finding the Fourth Proportional to 12,971.64, 19,462.02 and 6,402.48

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Solution

The fourth proportional to 12,971.64, 19,462.02 and 6,402.48 is: 9,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.64 : 19,462.02 = 6,402.48 : x
  2. Step 2: Convert to fraction form
    12,971.64/19,462.02 = 6,402.48/x
  3. Step 3: Cross multiply
    12,971.64x = 19,462.02 × 6,402.48
  4. Step 4: Simplify right side
    12,971.64x = 124,605,193.81
  5. Step 5: Solve for x
    x = 124,605,193.81/12,971.64
  6. Step 6: Final answer
    x = 9,605.97

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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.