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Finding the Fourth Proportional to 10,782.77, 14,800.73 and 9,577.49

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Solution

The fourth proportional to 10,782.77, 14,800.73 and 9,577.49 is: 13,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.77 : 14,800.73 = 9,577.49 : x
  2. Step 2: Convert to fraction form
    10,782.77/14,800.73 = 9,577.49/x
  3. Step 3: Cross multiply
    10,782.77x = 14,800.73 × 9,577.49
  4. Step 4: Simplify right side
    10,782.77x = 141,753,832.68
  5. Step 5: Solve for x
    x = 141,753,832.68/10,782.77
  6. Step 6: Final answer
    x = 13,146.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.