Home / 8,140-11,235.76-5,196

Finding the Fourth Proportional to 8,140, 11,235.76 and 5,196

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Solution

The fourth proportional to 8,140, 11,235.76 and 5,196 is: 7,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 11,235.76 = 5,196 : x
  2. Step 2: Convert to fraction form
    8,140/11,235.76 = 5,196/x
  3. Step 3: Cross multiply
    8,140x = 11,235.76 × 5,196
  4. Step 4: Simplify right side
    8,140x = 58,381,008.96
  5. Step 5: Solve for x
    x = 58,381,008.96/8,140
  6. Step 6: Final answer
    x = 7,172.11

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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.