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Finding the Fourth Proportional to 4,538.50, 6,259.94 and 4,386.10

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Solution

The fourth proportional to 4,538.50, 6,259.94 and 4,386.10 is: 6,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.50 : 6,259.94 = 4,386.10 : x
  2. Step 2: Convert to fraction form
    4,538.50/6,259.94 = 4,386.10/x
  3. Step 3: Cross multiply
    4,538.50x = 6,259.94 × 4,386.10
  4. Step 4: Simplify right side
    4,538.50x = 27,456,722.83
  5. Step 5: Solve for x
    x = 27,456,722.83/4,538.50
  6. Step 6: Final answer
    x = 6,049.74

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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.