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Finding the Fourth Proportional to 2,426, 3,655.52 and 2,160.78

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Solution

The fourth proportional to 2,426, 3,655.52 and 2,160.78 is: 3,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426 : 3,655.52 = 2,160.78 : x
  2. Step 2: Convert to fraction form
    2,426/3,655.52 = 2,160.78/x
  3. Step 3: Cross multiply
    2,426x = 3,655.52 × 2,160.78
  4. Step 4: Simplify right side
    2,426x = 7,898,774.51
  5. Step 5: Solve for x
    x = 7,898,774.51/2,426
  6. Step 6: Final answer
    x = 3,255.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.