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Finding the Fourth Proportional to 2,113.61, 3,170.61 and 553.61

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Solution

The fourth proportional to 2,113.61, 3,170.61 and 553.61 is: 830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.61 : 3,170.61 = 553.61 : x
  2. Step 2: Convert to fraction form
    2,113.61/3,170.61 = 553.61/x
  3. Step 3: Cross multiply
    2,113.61x = 3,170.61 × 553.61
  4. Step 4: Simplify right side
    2,113.61x = 1,755,278.63
  5. Step 5: Solve for x
    x = 1,755,278.63/2,113.61
  6. Step 6: Final answer
    x = 830.46

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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.