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Finding the Fourth Proportional to 34,724.16, 47,923.20 and 19,820.16

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Solution

The fourth proportional to 34,724.16, 47,923.20 and 19,820.16 is: 27,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,724.16 : 47,923.20 = 19,820.16 : x
  2. Step 2: Convert to fraction form
    34,724.16/47,923.20 = 19,820.16/x
  3. Step 3: Cross multiply
    34,724.16x = 47,923.20 × 19,820.16
  4. Step 4: Simplify right side
    34,724.16x = 949,845,491.71
  5. Step 5: Solve for x
    x = 949,845,491.71/34,724.16
  6. Step 6: Final answer
    x = 27,354.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.