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Finding the Fourth Proportional to 27,122.58, 40,683.87 and 7,400.70

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Solution

The fourth proportional to 27,122.58, 40,683.87 and 7,400.70 is: 11,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.58 : 40,683.87 = 7,400.70 : x
  2. Step 2: Convert to fraction form
    27,122.58/40,683.87 = 7,400.70/x
  3. Step 3: Cross multiply
    27,122.58x = 40,683.87 × 7,400.70
  4. Step 4: Simplify right side
    27,122.58x = 301,089,116.71
  5. Step 5: Solve for x
    x = 301,089,116.71/27,122.58
  6. Step 6: Final answer
    x = 11,101.05

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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.