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Finding the Fourth Proportional to 12,592.70, 18,875 and 5,188.22

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Solution

The fourth proportional to 12,592.70, 18,875 and 5,188.22 is: 7,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.70 : 18,875 = 5,188.22 : x
  2. Step 2: Convert to fraction form
    12,592.70/18,875 = 5,188.22/x
  3. Step 3: Cross multiply
    12,592.70x = 18,875 × 5,188.22
  4. Step 4: Simplify right side
    12,592.70x = 97,927,652.50
  5. Step 5: Solve for x
    x = 97,927,652.50/12,592.70
  6. Step 6: Final answer
    x = 7,776.54

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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.