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Finding the Fourth Proportional to 10,772.99, 14,851.11 and 7,784.09

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Solution

The fourth proportional to 10,772.99, 14,851.11 and 7,784.09 is: 10,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.99 : 14,851.11 = 7,784.09 : x
  2. Step 2: Convert to fraction form
    10,772.99/14,851.11 = 7,784.09/x
  3. Step 3: Cross multiply
    10,772.99x = 14,851.11 × 7,784.09
  4. Step 4: Simplify right side
    10,772.99x = 115,602,376.84
  5. Step 5: Solve for x
    x = 115,602,376.84/10,772.99
  6. Step 6: Final answer
    x = 10,730.76

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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.