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Finding the Fourth Proportional to 10,165.87, 14,028.90 and 5,689.81

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Solution

The fourth proportional to 10,165.87, 14,028.90 and 5,689.81 is: 7,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.87 : 14,028.90 = 5,689.81 : x
  2. Step 2: Convert to fraction form
    10,165.87/14,028.90 = 5,689.81/x
  3. Step 3: Cross multiply
    10,165.87x = 14,028.90 × 5,689.81
  4. Step 4: Simplify right side
    10,165.87x = 79,821,775.51
  5. Step 5: Solve for x
    x = 79,821,775.51/10,165.87
  6. Step 6: Final answer
    x = 7,851.94

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1.5x scale

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.