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Finding the Fourth Proportional to 6,419.40, 8,856.06 and 4,744.80

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Solution

The fourth proportional to 6,419.40, 8,856.06 and 4,744.80 is: 6,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.40 : 8,856.06 = 4,744.80 : x
  2. Step 2: Convert to fraction form
    6,419.40/8,856.06 = 4,744.80/x
  3. Step 3: Cross multiply
    6,419.40x = 8,856.06 × 4,744.80
  4. Step 4: Simplify right side
    6,419.40x = 42,020,233.49
  5. Step 5: Solve for x
    x = 42,020,233.49/6,419.40
  6. Step 6: Final answer
    x = 6,545.82

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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.