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Finding the Fourth Proportional to 3,124.60, 4,686.90 and 816.10

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Solution

The fourth proportional to 3,124.60, 4,686.90 and 816.10 is: 1,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.60 : 4,686.90 = 816.10 : x
  2. Step 2: Convert to fraction form
    3,124.60/4,686.90 = 816.10/x
  3. Step 3: Cross multiply
    3,124.60x = 4,686.90 × 816.10
  4. Step 4: Simplify right side
    3,124.60x = 3,824,979.09
  5. Step 5: Solve for x
    x = 3,824,979.09/3,124.60
  6. Step 6: Final answer
    x = 1,224.15

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Similar ratio
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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.