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Finding the Fourth Proportional to 2,572.02, 3,858.03 and 840.78

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Solution

The fourth proportional to 2,572.02, 3,858.03 and 840.78 is: 1,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.02 : 3,858.03 = 840.78 : x
  2. Step 2: Convert to fraction form
    2,572.02/3,858.03 = 840.78/x
  3. Step 3: Cross multiply
    2,572.02x = 3,858.03 × 840.78
  4. Step 4: Simplify right side
    2,572.02x = 3,243,754.46
  5. Step 5: Solve for x
    x = 3,243,754.46/2,572.02
  6. Step 6: Final answer
    x = 1,261.17

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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.