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Finding the Fourth Proportional to 2,435.76, 3,653.64 and 896.76

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Solution

The fourth proportional to 2,435.76, 3,653.64 and 896.76 is: 1,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.76 : 3,653.64 = 896.76 : x
  2. Step 2: Convert to fraction form
    2,435.76/3,653.64 = 896.76/x
  3. Step 3: Cross multiply
    2,435.76x = 3,653.64 × 896.76
  4. Step 4: Simplify right side
    2,435.76x = 3,276,438.21
  5. Step 5: Solve for x
    x = 3,276,438.21/2,435.76
  6. Step 6: Final answer
    x = 1,345.14

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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.