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Finding the Fourth Proportional to 38,417.40, 57,628.80 and 21,785.40

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Solution

The fourth proportional to 38,417.40, 57,628.80 and 21,785.40 is: 32,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.40 : 57,628.80 = 21,785.40 : x
  2. Step 2: Convert to fraction form
    38,417.40/57,628.80 = 21,785.40/x
  3. Step 3: Cross multiply
    38,417.40x = 57,628.80 × 21,785.40
  4. Step 4: Simplify right side
    38,417.40x = 1,255,466,459.52
  5. Step 5: Solve for x
    x = 1,255,466,459.52/38,417.40
  6. Step 6: Final answer
    x = 32,679.63

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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.