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Finding the Fourth Proportional to 2,395.70, 3,591.40 and 856.34

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Solution

The fourth proportional to 2,395.70, 3,591.40 and 856.34 is: 1,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.70 : 3,591.40 = 856.34 : x
  2. Step 2: Convert to fraction form
    2,395.70/3,591.40 = 856.34/x
  3. Step 3: Cross multiply
    2,395.70x = 3,591.40 × 856.34
  4. Step 4: Simplify right side
    2,395.70x = 3,075,459.48
  5. Step 5: Solve for x
    x = 3,075,459.48/2,395.70
  6. Step 6: Final answer
    x = 1,283.74

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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.