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Finding the Fourth Proportional to 2,869.80, 4,303.42 and 817.32

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Solution

The fourth proportional to 2,869.80, 4,303.42 and 817.32 is: 1,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.80 : 4,303.42 = 817.32 : x
  2. Step 2: Convert to fraction form
    2,869.80/4,303.42 = 817.32/x
  3. Step 3: Cross multiply
    2,869.80x = 4,303.42 × 817.32
  4. Step 4: Simplify right side
    2,869.80x = 3,517,271.23
  5. Step 5: Solve for x
    x = 3,517,271.23/2,869.80
  6. Step 6: Final answer
    x = 1,225.62

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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.