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Finding the Fourth Proportional to 10,561.77, 14,562 and 6,778.26

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Solution

The fourth proportional to 10,561.77, 14,562 and 6,778.26 is: 9,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.77 : 14,562 = 6,778.26 : x
  2. Step 2: Convert to fraction form
    10,561.77/14,562 = 6,778.26/x
  3. Step 3: Cross multiply
    10,561.77x = 14,562 × 6,778.26
  4. Step 4: Simplify right side
    10,561.77x = 98,705,022.12
  5. Step 5: Solve for x
    x = 98,705,022.12/10,561.77
  6. Step 6: Final answer
    x = 9,345.50

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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.