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Finding the Fourth Proportional to 2,415.02, 3,621.45 and 854.70

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Solution

The fourth proportional to 2,415.02, 3,621.45 and 854.70 is: 1,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.02 : 3,621.45 = 854.70 : x
  2. Step 2: Convert to fraction form
    2,415.02/3,621.45 = 854.70/x
  3. Step 3: Cross multiply
    2,415.02x = 3,621.45 × 854.70
  4. Step 4: Simplify right side
    2,415.02x = 3,095,253.32
  5. Step 5: Solve for x
    x = 3,095,253.32/2,415.02
  6. Step 6: Final answer
    x = 1,281.67

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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.