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Finding the Fourth Proportional to 10,776.11, 14,866.13 and 7,787.21

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Solution

The fourth proportional to 10,776.11, 14,866.13 and 7,787.21 is: 10,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.11 : 14,866.13 = 7,787.21 : x
  2. Step 2: Convert to fraction form
    10,776.11/14,866.13 = 7,787.21/x
  3. Step 3: Cross multiply
    10,776.11x = 14,866.13 × 7,787.21
  4. Step 4: Simplify right side
    10,776.11x = 115,765,637.26
  5. Step 5: Solve for x
    x = 115,765,637.26/10,776.11
  6. Step 6: Final answer
    x = 10,742.80

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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.