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Finding the Fourth Proportional to 6,156.60, 9,214.80 and 4,687.64

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Solution

The fourth proportional to 6,156.60, 9,214.80 and 4,687.64 is: 7,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.60 : 9,214.80 = 4,687.64 : x
  2. Step 2: Convert to fraction form
    6,156.60/9,214.80 = 4,687.64/x
  3. Step 3: Cross multiply
    6,156.60x = 9,214.80 × 4,687.64
  4. Step 4: Simplify right side
    6,156.60x = 43,195,665.07
  5. Step 5: Solve for x
    x = 43,195,665.07/6,156.60
  6. Step 6: Final answer
    x = 7,016.16

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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.