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Finding the Fourth Proportional to 5,693, 7,857.78 and 3,210.44

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Solution

The fourth proportional to 5,693, 7,857.78 and 3,210.44 is: 4,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693 : 7,857.78 = 3,210.44 : x
  2. Step 2: Convert to fraction form
    5,693/7,857.78 = 3,210.44/x
  3. Step 3: Cross multiply
    5,693x = 7,857.78 × 3,210.44
  4. Step 4: Simplify right side
    5,693x = 25,226,931.22
  5. Step 5: Solve for x
    x = 25,226,931.22/5,693
  6. Step 6: Final answer
    x = 4,431.22

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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.