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Finding the Fourth Proportional to 10,916.70, 16,388.88 and 9,090.15

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Solution

The fourth proportional to 10,916.70, 16,388.88 and 9,090.15 is: 13,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.70 : 16,388.88 = 9,090.15 : x
  2. Step 2: Convert to fraction form
    10,916.70/16,388.88 = 9,090.15/x
  3. Step 3: Cross multiply
    10,916.70x = 16,388.88 × 9,090.15
  4. Step 4: Simplify right side
    10,916.70x = 148,977,295.59
  5. Step 5: Solve for x
    x = 148,977,295.59/10,916.70
  6. Step 6: Final answer
    x = 13,646.74

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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.