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Finding the Fourth Proportional to 10,172.42, 14,037.32 and 5,695.42

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Solution

The fourth proportional to 10,172.42, 14,037.32 and 5,695.42 is: 7,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.42 : 14,037.32 = 5,695.42 : x
  2. Step 2: Convert to fraction form
    10,172.42/14,037.32 = 5,695.42/x
  3. Step 3: Cross multiply
    10,172.42x = 14,037.32 × 5,695.42
  4. Step 4: Simplify right side
    10,172.42x = 79,948,334.41
  5. Step 5: Solve for x
    x = 79,948,334.41/10,172.42
  6. Step 6: Final answer
    x = 7,859.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.