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Finding the Fourth Proportional to 10,772.69, 14,856.28 and 6,991.81

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Solution

The fourth proportional to 10,772.69, 14,856.28 and 6,991.81 is: 9,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.69 : 14,856.28 = 6,991.81 : x
  2. Step 2: Convert to fraction form
    10,772.69/14,856.28 = 6,991.81/x
  3. Step 3: Cross multiply
    10,772.69x = 14,856.28 × 6,991.81
  4. Step 4: Simplify right side
    10,772.69x = 103,872,232.45
  5. Step 5: Solve for x
    x = 103,872,232.45/10,772.69
  6. Step 6: Final answer
    x = 9,642.19

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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.