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Finding the Fourth Proportional to 2,120, 2,925.62 and 1,188.52

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Solution

The fourth proportional to 2,120, 2,925.62 and 1,188.52 is: 1,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 2,925.62 = 1,188.52 : x
  2. Step 2: Convert to fraction form
    2,120/2,925.62 = 1,188.52/x
  3. Step 3: Cross multiply
    2,120x = 2,925.62 × 1,188.52
  4. Step 4: Simplify right side
    2,120x = 3,477,157.88
  5. Step 5: Solve for x
    x = 3,477,157.88/2,120
  6. Step 6: Final answer
    x = 1,640.17

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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.