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Finding the Fourth Proportional to 2,395, 3,592.86 and 856.36

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Solution

The fourth proportional to 2,395, 3,592.86 and 856.36 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395 : 3,592.86 = 856.36 : x
  2. Step 2: Convert to fraction form
    2,395/3,592.86 = 856.36/x
  3. Step 3: Cross multiply
    2,395x = 3,592.86 × 856.36
  4. Step 4: Simplify right side
    2,395x = 3,076,781.59
  5. Step 5: Solve for x
    x = 3,076,781.59/2,395
  6. Step 6: Final answer
    x = 1,284.67

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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.