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Finding the Fourth Proportional to 37,215.76, 51,357.74 and 20,448.76

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Solution

The fourth proportional to 37,215.76, 51,357.74 and 20,448.76 is: 28,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215.76 : 51,357.74 = 20,448.76 : x
  2. Step 2: Convert to fraction form
    37,215.76/51,357.74 = 20,448.76/x
  3. Step 3: Cross multiply
    37,215.76x = 51,357.74 × 20,448.76
  4. Step 4: Simplify right side
    37,215.76x = 1,050,202,099.40
  5. Step 5: Solve for x
    x = 1,050,202,099.40/37,215.76
  6. Step 6: Final answer
    x = 28,219.28

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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.