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Finding the Fourth Proportional to 6,503.76, 8,971.53 and 4,112.99

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Solution

The fourth proportional to 6,503.76, 8,971.53 and 4,112.99 is: 5,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.76 : 8,971.53 = 4,112.99 : x
  2. Step 2: Convert to fraction form
    6,503.76/8,971.53 = 4,112.99/x
  3. Step 3: Cross multiply
    6,503.76x = 8,971.53 × 4,112.99
  4. Step 4: Simplify right side
    6,503.76x = 36,899,837.00
  5. Step 5: Solve for x
    x = 36,899,837.00/6,503.76
  6. Step 6: Final answer
    x = 5,673.62

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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.