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Finding the Fourth Proportional to 10,172.16, 14,038.09 and 5,695.63

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Solution

The fourth proportional to 10,172.16, 14,038.09 and 5,695.63 is: 7,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.16 : 14,038.09 = 5,695.63 : x
  2. Step 2: Convert to fraction form
    10,172.16/14,038.09 = 5,695.63/x
  3. Step 3: Cross multiply
    10,172.16x = 14,038.09 × 5,695.63
  4. Step 4: Simplify right side
    10,172.16x = 79,955,717.21
  5. Step 5: Solve for x
    x = 79,955,717.21/10,172.16
  6. Step 6: Final answer
    x = 7,860.25

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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.