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Finding the Fourth Proportional to 12,666.10, 18,999.15 and 9,166.90

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Solution

The fourth proportional to 12,666.10, 18,999.15 and 9,166.90 is: 13,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.10 : 18,999.15 = 9,166.90 : x
  2. Step 2: Convert to fraction form
    12,666.10/18,999.15 = 9,166.90/x
  3. Step 3: Cross multiply
    12,666.10x = 18,999.15 × 9,166.90
  4. Step 4: Simplify right side
    12,666.10x = 174,163,308.14
  5. Step 5: Solve for x
    x = 174,163,308.14/12,666.10
  6. Step 6: Final answer
    x = 13,750.35

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1.5x scale

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.