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Finding the Fourth Proportional to 12,354.90, 18,509.12 and 6,107.64

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Solution

The fourth proportional to 12,354.90, 18,509.12 and 6,107.64 is: 9,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.90 : 18,509.12 = 6,107.64 : x
  2. Step 2: Convert to fraction form
    12,354.90/18,509.12 = 6,107.64/x
  3. Step 3: Cross multiply
    12,354.90x = 18,509.12 × 6,107.64
  4. Step 4: Simplify right side
    12,354.90x = 113,047,041.68
  5. Step 5: Solve for x
    x = 113,047,041.68/12,354.90
  6. Step 6: Final answer
    x = 9,149.98

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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.