Home / 2,120-2,925.76-1,292.16

Finding the Fourth Proportional to 2,120, 2,925.76 and 1,292.16

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Solution

The fourth proportional to 2,120, 2,925.76 and 1,292.16 is: 1,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 2,925.76 = 1,292.16 : x
  2. Step 2: Convert to fraction form
    2,120/2,925.76 = 1,292.16/x
  3. Step 3: Cross multiply
    2,120x = 2,925.76 × 1,292.16
  4. Step 4: Simplify right side
    2,120x = 3,780,550.04
  5. Step 5: Solve for x
    x = 3,780,550.04/2,120
  6. Step 6: Final answer
    x = 1,783.28

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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.