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Finding the Fourth Proportional to 2,656.70, 3,669.98 and 2,129.09

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Solution

The fourth proportional to 2,656.70, 3,669.98 and 2,129.09 is: 2,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.70 : 3,669.98 = 2,129.09 : x
  2. Step 2: Convert to fraction form
    2,656.70/3,669.98 = 2,129.09/x
  3. Step 3: Cross multiply
    2,656.70x = 3,669.98 × 2,129.09
  4. Step 4: Simplify right side
    2,656.70x = 7,813,688.72
  5. Step 5: Solve for x
    x = 7,813,688.72/2,656.70
  6. Step 6: Final answer
    x = 2,941.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.