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Finding the Fourth Proportional to 10,000.64, 13,801.76 and 6,021.76

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Solution

The fourth proportional to 10,000.64, 13,801.76 and 6,021.76 is: 8,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.64 : 13,801.76 = 6,021.76 : x
  2. Step 2: Convert to fraction form
    10,000.64/13,801.76 = 6,021.76/x
  3. Step 3: Cross multiply
    10,000.64x = 13,801.76 × 6,021.76
  4. Step 4: Simplify right side
    10,000.64x = 83,110,886.30
  5. Step 5: Solve for x
    x = 83,110,886.30/10,000.64
  6. Step 6: Final answer
    x = 8,310.56

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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.