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Finding the Fourth Proportional to 6,457.57, 8,909.15 and 4,220.74

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Solution

The fourth proportional to 6,457.57, 8,909.15 and 4,220.74 is: 5,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.57 : 8,909.15 = 4,220.74 : x
  2. Step 2: Convert to fraction form
    6,457.57/8,909.15 = 4,220.74/x
  3. Step 3: Cross multiply
    6,457.57x = 8,909.15 × 4,220.74
  4. Step 4: Simplify right side
    6,457.57x = 37,603,177.05
  5. Step 5: Solve for x
    x = 37,603,177.05/6,457.57
  6. Step 6: Final answer
    x = 5,823.12

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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.