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Finding the Fourth Proportional to 10,000.54, 13,802.43 and 5,811.22

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Solution

The fourth proportional to 10,000.54, 13,802.43 and 5,811.22 is: 8,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.54 : 13,802.43 = 5,811.22 : x
  2. Step 2: Convert to fraction form
    10,000.54/13,802.43 = 5,811.22/x
  3. Step 3: Cross multiply
    10,000.54x = 13,802.43 × 5,811.22
  4. Step 4: Simplify right side
    10,000.54x = 80,208,957.26
  5. Step 5: Solve for x
    x = 80,208,957.26/10,000.54
  6. Step 6: Final answer
    x = 8,020.46

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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.