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Finding the Fourth Proportional to 10,409.66, 14,370 and 6,637.88

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Solution

The fourth proportional to 10,409.66, 14,370 and 6,637.88 is: 9,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.66 : 14,370 = 6,637.88 : x
  2. Step 2: Convert to fraction form
    10,409.66/14,370 = 6,637.88/x
  3. Step 3: Cross multiply
    10,409.66x = 14,370 × 6,637.88
  4. Step 4: Simplify right side
    10,409.66x = 95,386,335.60
  5. Step 5: Solve for x
    x = 95,386,335.60/10,409.66
  6. Step 6: Final answer
    x = 9,163.25

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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.