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Finding the Fourth Proportional to 10,809.22, 14,915.65 and 7,978.12

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Solution

The fourth proportional to 10,809.22, 14,915.65 and 7,978.12 is: 11,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.22 : 14,915.65 = 7,978.12 : x
  2. Step 2: Convert to fraction form
    10,809.22/14,915.65 = 7,978.12/x
  3. Step 3: Cross multiply
    10,809.22x = 14,915.65 × 7,978.12
  4. Step 4: Simplify right side
    10,809.22x = 118,998,845.58
  5. Step 5: Solve for x
    x = 118,998,845.58/10,809.22
  6. Step 6: Final answer
    x = 11,009.01

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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.