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Finding the Fourth Proportional to 11,686.60, 16,099.24 and 10,002.60

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Solution

The fourth proportional to 11,686.60, 16,099.24 and 10,002.60 is: 13,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.60 : 16,099.24 = 10,002.60 : x
  2. Step 2: Convert to fraction form
    11,686.60/16,099.24 = 10,002.60/x
  3. Step 3: Cross multiply
    11,686.60x = 16,099.24 × 10,002.60
  4. Step 4: Simplify right side
    11,686.60x = 161,034,258.02
  5. Step 5: Solve for x
    x = 161,034,258.02/11,686.60
  6. Step 6: Final answer
    x = 13,779.39

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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.