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Finding the Fourth Proportional to 10,447.02, 14,416.80 and 5,731.38

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Solution

The fourth proportional to 10,447.02, 14,416.80 and 5,731.38 is: 7,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.02 : 14,416.80 = 5,731.38 : x
  2. Step 2: Convert to fraction form
    10,447.02/14,416.80 = 5,731.38/x
  3. Step 3: Cross multiply
    10,447.02x = 14,416.80 × 5,731.38
  4. Step 4: Simplify right side
    10,447.02x = 82,628,159.18
  5. Step 5: Solve for x
    x = 82,628,159.18/10,447.02
  6. Step 6: Final answer
    x = 7,909.26

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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.