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Finding the Fourth Proportional to 4,070.64, 6,105.98 and 992.64

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Solution

The fourth proportional to 4,070.64, 6,105.98 and 992.64 is: 1,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.64 : 6,105.98 = 992.64 : x
  2. Step 2: Convert to fraction form
    4,070.64/6,105.98 = 992.64/x
  3. Step 3: Cross multiply
    4,070.64x = 6,105.98 × 992.64
  4. Step 4: Simplify right side
    4,070.64x = 6,061,035.02
  5. Step 5: Solve for x
    x = 6,061,035.02/4,070.64
  6. Step 6: Final answer
    x = 1,488.96

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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.