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Finding the Fourth Proportional to 19,438.86, 29,151.12 and 6,955.50

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Solution

The fourth proportional to 19,438.86, 29,151.12 and 6,955.50 is: 10,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438.86 : 29,151.12 = 6,955.50 : x
  2. Step 2: Convert to fraction form
    19,438.86/29,151.12 = 6,955.50/x
  3. Step 3: Cross multiply
    19,438.86x = 29,151.12 × 6,955.50
  4. Step 4: Simplify right side
    19,438.86x = 202,760,615.16
  5. Step 5: Solve for x
    x = 202,760,615.16/19,438.86
  6. Step 6: Final answer
    x = 10,430.68

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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.