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Finding the Fourth Proportional to 3,598.49, 5,397.74 and 1,405.68

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Solution

The fourth proportional to 3,598.49, 5,397.74 and 1,405.68 is: 2,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.49 : 5,397.74 = 1,405.68 : x
  2. Step 2: Convert to fraction form
    3,598.49/5,397.74 = 1,405.68/x
  3. Step 3: Cross multiply
    3,598.49x = 5,397.74 × 1,405.68
  4. Step 4: Simplify right side
    3,598.49x = 7,587,498.68
  5. Step 5: Solve for x
    x = 7,587,498.68/3,598.49
  6. Step 6: Final answer
    x = 2,108.52

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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.