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Finding the Fourth Proportional to 10,765.77, 14,848.50 and 7,791.45

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Solution

The fourth proportional to 10,765.77, 14,848.50 and 7,791.45 is: 10,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.77 : 14,848.50 = 7,791.45 : x
  2. Step 2: Convert to fraction form
    10,765.77/14,848.50 = 7,791.45/x
  3. Step 3: Cross multiply
    10,765.77x = 14,848.50 × 7,791.45
  4. Step 4: Simplify right side
    10,765.77x = 115,691,345.33
  5. Step 5: Solve for x
    x = 115,691,345.33/10,765.77
  6. Step 6: Final answer
    x = 10,746.22

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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.