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Finding the Fourth Proportional to 19,688.13, 29,527.74 and 5,648.13

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Solution

The fourth proportional to 19,688.13, 29,527.74 and 5,648.13 is: 8,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.13 : 29,527.74 = 5,648.13 : x
  2. Step 2: Convert to fraction form
    19,688.13/29,527.74 = 5,648.13/x
  3. Step 3: Cross multiply
    19,688.13x = 29,527.74 × 5,648.13
  4. Step 4: Simplify right side
    19,688.13x = 166,776,514.13
  5. Step 5: Solve for x
    x = 166,776,514.13/19,688.13
  6. Step 6: Final answer
    x = 8,470.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.