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Finding the Fourth Proportional to 10,002.85, 13,802.99 and 6,411.47

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Solution

The fourth proportional to 10,002.85, 13,802.99 and 6,411.47 is: 8,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.85 : 13,802.99 = 6,411.47 : x
  2. Step 2: Convert to fraction form
    10,002.85/13,802.99 = 6,411.47/x
  3. Step 3: Cross multiply
    10,002.85x = 13,802.99 × 6,411.47
  4. Step 4: Simplify right side
    10,002.85x = 88,497,355.22
  5. Step 5: Solve for x
    x = 88,497,355.22/10,002.85
  6. Step 6: Final answer
    x = 8,847.22

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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.