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Finding the Fourth Proportional to 10,172.67, 14,038.91 and 5,696.70

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Solution

The fourth proportional to 10,172.67, 14,038.91 and 5,696.70 is: 7,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.67 : 14,038.91 = 5,696.70 : x
  2. Step 2: Convert to fraction form
    10,172.67/14,038.91 = 5,696.70/x
  3. Step 3: Cross multiply
    10,172.67x = 14,038.91 × 5,696.70
  4. Step 4: Simplify right side
    10,172.67x = 79,975,430.11
  5. Step 5: Solve for x
    x = 79,975,430.11/10,172.67
  6. Step 6: Final answer
    x = 7,861.79

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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.