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Finding the Fourth Proportional to 10,643.44, 15,966.80 and 4,801.72

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Solution

The fourth proportional to 10,643.44, 15,966.80 and 4,801.72 is: 7,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.44 : 15,966.80 = 4,801.72 : x
  2. Step 2: Convert to fraction form
    10,643.44/15,966.80 = 4,801.72/x
  3. Step 3: Cross multiply
    10,643.44x = 15,966.80 × 4,801.72
  4. Step 4: Simplify right side
    10,643.44x = 76,668,102.90
  5. Step 5: Solve for x
    x = 76,668,102.90/10,643.44
  6. Step 6: Final answer
    x = 7,203.32

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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.