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Finding the Fourth Proportional to 6,865.71, 10,298.57 and 1,671.54

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Solution

The fourth proportional to 6,865.71, 10,298.57 and 1,671.54 is: 2,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.71 : 10,298.57 = 1,671.54 : x
  2. Step 2: Convert to fraction form
    6,865.71/10,298.57 = 1,671.54/x
  3. Step 3: Cross multiply
    6,865.71x = 10,298.57 × 1,671.54
  4. Step 4: Simplify right side
    6,865.71x = 17,214,463.34
  5. Step 5: Solve for x
    x = 17,214,463.34/6,865.71
  6. Step 6: Final answer
    x = 2,507.31

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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.