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Finding the Fourth Proportional to 10,726.71, 16,090.16 and 4,405.07

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Solution

The fourth proportional to 10,726.71, 16,090.16 and 4,405.07 is: 6,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.71 : 16,090.16 = 4,405.07 : x
  2. Step 2: Convert to fraction form
    10,726.71/16,090.16 = 4,405.07/x
  3. Step 3: Cross multiply
    10,726.71x = 16,090.16 × 4,405.07
  4. Step 4: Simplify right side
    10,726.71x = 70,878,178.64
  5. Step 5: Solve for x
    x = 70,878,178.64/10,726.71
  6. Step 6: Final answer
    x = 6,607.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.