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Finding the Fourth Proportional to 2,120, 2,925.60 and 1,223.92

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Solution

The fourth proportional to 2,120, 2,925.60 and 1,223.92 is: 1,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 2,925.60 = 1,223.92 : x
  2. Step 2: Convert to fraction form
    2,120/2,925.60 = 1,223.92/x
  3. Step 3: Cross multiply
    2,120x = 2,925.60 × 1,223.92
  4. Step 4: Simplify right side
    2,120x = 3,580,700.35
  5. Step 5: Solve for x
    x = 3,580,700.35/2,120
  6. Step 6: Final answer
    x = 1,689.01

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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.