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Finding the Fourth Proportional to 19,563.76, 29,346 and 4,772.72

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Solution

The fourth proportional to 19,563.76, 29,346 and 4,772.72 is: 7,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563.76 : 29,346 = 4,772.72 : x
  2. Step 2: Convert to fraction form
    19,563.76/29,346 = 4,772.72/x
  3. Step 3: Cross multiply
    19,563.76x = 29,346 × 4,772.72
  4. Step 4: Simplify right side
    19,563.76x = 140,060,241.12
  5. Step 5: Solve for x
    x = 140,060,241.12/19,563.76
  6. Step 6: Final answer
    x = 7,159.17

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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.