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Finding the Fourth Proportional to 21,807.15, 32,710.86 and 7,767.72

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Solution

The fourth proportional to 21,807.15, 32,710.86 and 7,767.72 is: 11,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.15 : 32,710.86 = 7,767.72 : x
  2. Step 2: Convert to fraction form
    21,807.15/32,710.86 = 7,767.72/x
  3. Step 3: Cross multiply
    21,807.15x = 32,710.86 × 7,767.72
  4. Step 4: Simplify right side
    21,807.15x = 254,088,801.44
  5. Step 5: Solve for x
    x = 254,088,801.44/21,807.15
  6. Step 6: Final answer
    x = 11,651.63

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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.