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Finding the Fourth Proportional to 34,624.16, 47,783.76 and 19,720.16

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Solution

The fourth proportional to 34,624.16, 47,783.76 and 19,720.16 is: 27,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.16 : 47,783.76 = 19,720.16 : x
  2. Step 2: Convert to fraction form
    34,624.16/47,783.76 = 19,720.16/x
  3. Step 3: Cross multiply
    34,624.16x = 47,783.76 × 19,720.16
  4. Step 4: Simplify right side
    34,624.16x = 942,303,392.60
  5. Step 5: Solve for x
    x = 942,303,392.60/34,624.16
  6. Step 6: Final answer
    x = 27,215.20

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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.