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Finding the Fourth Proportional to 10,644, 14,688.72 and 6,454.68

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Solution

The fourth proportional to 10,644, 14,688.72 and 6,454.68 is: 8,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644 : 14,688.72 = 6,454.68 : x
  2. Step 2: Convert to fraction form
    10,644/14,688.72 = 6,454.68/x
  3. Step 3: Cross multiply
    10,644x = 14,688.72 × 6,454.68
  4. Step 4: Simplify right side
    10,644x = 94,810,987.21
  5. Step 5: Solve for x
    x = 94,810,987.21/10,644
  6. Step 6: Final answer
    x = 8,907.46

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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.