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Finding the Fourth Proportional to 10,616.36, 14,641.74 and 7,969.64

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Solution

The fourth proportional to 10,616.36, 14,641.74 and 7,969.64 is: 10,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.36 : 14,641.74 = 7,969.64 : x
  2. Step 2: Convert to fraction form
    10,616.36/14,641.74 = 7,969.64/x
  3. Step 3: Cross multiply
    10,616.36x = 14,641.74 × 7,969.64
  4. Step 4: Simplify right side
    10,616.36x = 116,689,396.77
  5. Step 5: Solve for x
    x = 116,689,396.77/10,616.36
  6. Step 6: Final answer
    x = 10,991.47

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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.