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Finding the Fourth Proportional to 10,802.60, 16,211.10 and 6,122.60

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Solution

The fourth proportional to 10,802.60, 16,211.10 and 6,122.60 is: 9,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.60 : 16,211.10 = 6,122.60 : x
  2. Step 2: Convert to fraction form
    10,802.60/16,211.10 = 6,122.60/x
  3. Step 3: Cross multiply
    10,802.60x = 16,211.10 × 6,122.60
  4. Step 4: Simplify right side
    10,802.60x = 99,254,080.86
  5. Step 5: Solve for x
    x = 99,254,080.86/10,802.60
  6. Step 6: Final answer
    x = 9,187.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.