Home / 2,256.16-3,114-1,470.40

Finding the Fourth Proportional to 2,256.16, 3,114 and 1,470.40

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Solution

The fourth proportional to 2,256.16, 3,114 and 1,470.40 is: 2,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.16 : 3,114 = 1,470.40 : x
  2. Step 2: Convert to fraction form
    2,256.16/3,114 = 1,470.40/x
  3. Step 3: Cross multiply
    2,256.16x = 3,114 × 1,470.40
  4. Step 4: Simplify right side
    2,256.16x = 4,578,825.60
  5. Step 5: Solve for x
    x = 4,578,825.60/2,256.16
  6. Step 6: Final answer
    x = 2,029.48

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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.