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Finding the Fourth Proportional to 2,572.64, 3,858.98 and 624.86

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Solution

The fourth proportional to 2,572.64, 3,858.98 and 624.86 is: 937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.64 : 3,858.98 = 624.86 : x
  2. Step 2: Convert to fraction form
    2,572.64/3,858.98 = 624.86/x
  3. Step 3: Cross multiply
    2,572.64x = 3,858.98 × 624.86
  4. Step 4: Simplify right side
    2,572.64x = 2,411,299.82
  5. Step 5: Solve for x
    x = 2,411,299.82/2,572.64
  6. Step 6: Final answer
    x = 937.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.