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Finding the Fourth Proportional to 10,000.40, 13,798.63 and 6,021.77

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Solution

The fourth proportional to 10,000.40, 13,798.63 and 6,021.77 is: 8,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.40 : 13,798.63 = 6,021.77 : x
  2. Step 2: Convert to fraction form
    10,000.40/13,798.63 = 6,021.77/x
  3. Step 3: Cross multiply
    10,000.40x = 13,798.63 × 6,021.77
  4. Step 4: Simplify right side
    10,000.40x = 83,092,092.13
  5. Step 5: Solve for x
    x = 83,092,092.13/10,000.40
  6. Step 6: Final answer
    x = 8,308.88

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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.