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Finding the Fourth Proportional to 9,354.87, 12,909.45 and 6,164.28

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Solution

The fourth proportional to 9,354.87, 12,909.45 and 6,164.28 is: 8,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.87 : 12,909.45 = 6,164.28 : x
  2. Step 2: Convert to fraction form
    9,354.87/12,909.45 = 6,164.28/x
  3. Step 3: Cross multiply
    9,354.87x = 12,909.45 × 6,164.28
  4. Step 4: Simplify right side
    9,354.87x = 79,577,464.45
  5. Step 5: Solve for x
    x = 79,577,464.45/9,354.87
  6. Step 6: Final answer
    x = 8,506.53

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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.