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Finding the Fourth Proportional to 3,417.54, 5,128.29 and 1,443.05

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Solution

The fourth proportional to 3,417.54, 5,128.29 and 1,443.05 is: 2,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.54 : 5,128.29 = 1,443.05 : x
  2. Step 2: Convert to fraction form
    3,417.54/5,128.29 = 1,443.05/x
  3. Step 3: Cross multiply
    3,417.54x = 5,128.29 × 1,443.05
  4. Step 4: Simplify right side
    3,417.54x = 7,400,353.24
  5. Step 5: Solve for x
    x = 7,400,353.24/3,417.54
  6. Step 6: Final answer
    x = 2,165.40

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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.