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Finding the Fourth Proportional to 7,777.56, 11,637.62 and 4,659.77

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Solution

The fourth proportional to 7,777.56, 11,637.62 and 4,659.77 is: 6,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.56 : 11,637.62 = 4,659.77 : x
  2. Step 2: Convert to fraction form
    7,777.56/11,637.62 = 4,659.77/x
  3. Step 3: Cross multiply
    7,777.56x = 11,637.62 × 4,659.77
  4. Step 4: Simplify right side
    7,777.56x = 54,228,574.36
  5. Step 5: Solve for x
    x = 54,228,574.36/7,777.56
  6. Step 6: Final answer
    x = 6,972.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.