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Finding the Fourth Proportional to 10,000.50, 13,800.69 and 5,809.02

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Solution

The fourth proportional to 10,000.50, 13,800.69 and 5,809.02 is: 8,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.50 : 13,800.69 = 5,809.02 : x
  2. Step 2: Convert to fraction form
    10,000.50/13,800.69 = 5,809.02/x
  3. Step 3: Cross multiply
    10,000.50x = 13,800.69 × 5,809.02
  4. Step 4: Simplify right side
    10,000.50x = 80,168,484.22
  5. Step 5: Solve for x
    x = 80,168,484.22/10,000.50
  6. Step 6: Final answer
    x = 8,016.45

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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.