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Finding the Fourth Proportional to 38,574, 57,812.88 and 21,883.20

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Solution

The fourth proportional to 38,574, 57,812.88 and 21,883.20 is: 32,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574 : 57,812.88 = 21,883.20 : x
  2. Step 2: Convert to fraction form
    38,574/57,812.88 = 21,883.20/x
  3. Step 3: Cross multiply
    38,574x = 57,812.88 × 21,883.20
  4. Step 4: Simplify right side
    38,574x = 1,265,130,815.62
  5. Step 5: Solve for x
    x = 1,265,130,815.62/38,574
  6. Step 6: Final answer
    x = 32,797.50

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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.