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Finding the Fourth Proportional to 10,776.80, 14,875.78 and 9,107.06

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Solution

The fourth proportional to 10,776.80, 14,875.78 and 9,107.06 is: 12,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.80 : 14,875.78 = 9,107.06 : x
  2. Step 2: Convert to fraction form
    10,776.80/14,875.78 = 9,107.06/x
  3. Step 3: Cross multiply
    10,776.80x = 14,875.78 × 9,107.06
  4. Step 4: Simplify right side
    10,776.80x = 135,474,621.01
  5. Step 5: Solve for x
    x = 135,474,621.01/10,776.80
  6. Step 6: Final answer
    x = 12,570.95

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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.