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Finding the Fourth Proportional to 11,455, 15,807.93 and 6,677.78

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Solution

The fourth proportional to 11,455, 15,807.93 and 6,677.78 is: 9,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455 : 15,807.93 = 6,677.78 : x
  2. Step 2: Convert to fraction form
    11,455/15,807.93 = 6,677.78/x
  3. Step 3: Cross multiply
    11,455x = 15,807.93 × 6,677.78
  4. Step 4: Simplify right side
    11,455x = 105,561,878.80
  5. Step 5: Solve for x
    x = 105,561,878.80/11,455
  6. Step 6: Final answer
    x = 9,215.35

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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.