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Finding the Fourth Proportional to 6,431.08, 9,645.54 and 1,813

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Solution

The fourth proportional to 6,431.08, 9,645.54 and 1,813 is: 2,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.08 : 9,645.54 = 1,813 : x
  2. Step 2: Convert to fraction form
    6,431.08/9,645.54 = 1,813/x
  3. Step 3: Cross multiply
    6,431.08x = 9,645.54 × 1,813
  4. Step 4: Simplify right side
    6,431.08x = 17,487,364.02
  5. Step 5: Solve for x
    x = 17,487,364.02/6,431.08
  6. Step 6: Final answer
    x = 2,719.20

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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.