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Finding the Fourth Proportional to 10,774.76, 14,877.78 and 6,999.80

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Solution

The fourth proportional to 10,774.76, 14,877.78 and 6,999.80 is: 9,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.76 : 14,877.78 = 6,999.80 : x
  2. Step 2: Convert to fraction form
    10,774.76/14,877.78 = 6,999.80/x
  3. Step 3: Cross multiply
    10,774.76x = 14,877.78 × 6,999.80
  4. Step 4: Simplify right side
    10,774.76x = 104,141,484.44
  5. Step 5: Solve for x
    x = 104,141,484.44/10,774.76
  6. Step 6: Final answer
    x = 9,665.32

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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.