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Finding the Fourth Proportional to 4,702.87, 6,489.87 and 2,578.40

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Solution

The fourth proportional to 4,702.87, 6,489.87 and 2,578.40 is: 3,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.87 : 6,489.87 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    4,702.87/6,489.87 = 2,578.40/x
  3. Step 3: Cross multiply
    4,702.87x = 6,489.87 × 2,578.40
  4. Step 4: Simplify right side
    4,702.87x = 16,733,480.81
  5. Step 5: Solve for x
    x = 16,733,480.81/4,702.87
  6. Step 6: Final answer
    x = 3,558.14

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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.