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Finding the Fourth Proportional to 4,642.91, 6,406.80 and 2,653.46

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Solution

The fourth proportional to 4,642.91, 6,406.80 and 2,653.46 is: 3,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.91 : 6,406.80 = 2,653.46 : x
  2. Step 2: Convert to fraction form
    4,642.91/6,406.80 = 2,653.46/x
  3. Step 3: Cross multiply
    4,642.91x = 6,406.80 × 2,653.46
  4. Step 4: Simplify right side
    4,642.91x = 17,000,187.53
  5. Step 5: Solve for x
    x = 17,000,187.53/4,642.91
  6. Step 6: Final answer
    x = 3,661.54

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1.5x scale

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.