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Finding the Fourth Proportional to 2,113.51, 3,169.98 and 553.63

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Solution

The fourth proportional to 2,113.51, 3,169.98 and 553.63 is: 830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.51 : 3,169.98 = 553.63 : x
  2. Step 2: Convert to fraction form
    2,113.51/3,169.98 = 553.63/x
  3. Step 3: Cross multiply
    2,113.51x = 3,169.98 × 553.63
  4. Step 4: Simplify right side
    2,113.51x = 1,754,996.03
  5. Step 5: Solve for x
    x = 1,754,996.03/2,113.51
  6. Step 6: Final answer
    x = 830.37

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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.