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Finding the Fourth Proportional to 3,437.79, 5,156.64 and 840.75

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Solution

The fourth proportional to 3,437.79, 5,156.64 and 840.75 is: 1,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.79 : 5,156.64 = 840.75 : x
  2. Step 2: Convert to fraction form
    3,437.79/5,156.64 = 840.75/x
  3. Step 3: Cross multiply
    3,437.79x = 5,156.64 × 840.75
  4. Step 4: Simplify right side
    3,437.79x = 4,335,445.08
  5. Step 5: Solve for x
    x = 4,335,445.08/3,437.79
  6. Step 6: Final answer
    x = 1,261.11

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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.