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Finding the Fourth Proportional to 34,468, 47,563.60 and 20,320.16

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Solution

The fourth proportional to 34,468, 47,563.60 and 20,320.16 is: 28,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468 : 47,563.60 = 20,320.16 : x
  2. Step 2: Convert to fraction form
    34,468/47,563.60 = 20,320.16/x
  3. Step 3: Cross multiply
    34,468x = 47,563.60 × 20,320.16
  4. Step 4: Simplify right side
    34,468x = 966,499,962.18
  5. Step 5: Solve for x
    x = 966,499,962.18/34,468
  6. Step 6: Final answer
    x = 28,040.50

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Why These Related Problems?

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