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Finding the Fourth Proportional to 10,715.54, 14,772.22 and 7,877.90

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Solution

The fourth proportional to 10,715.54, 14,772.22 and 7,877.90 is: 10,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.54 : 14,772.22 = 7,877.90 : x
  2. Step 2: Convert to fraction form
    10,715.54/14,772.22 = 7,877.90/x
  3. Step 3: Cross multiply
    10,715.54x = 14,772.22 × 7,877.90
  4. Step 4: Simplify right side
    10,715.54x = 116,374,071.94
  5. Step 5: Solve for x
    x = 116,374,071.94/10,715.54
  6. Step 6: Final answer
    x = 10,860.31

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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.