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Finding the Fourth Proportional to 30,700.64, 45,951.92 and 15,889.20

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Solution

The fourth proportional to 30,700.64, 45,951.92 and 15,889.20 is: 23,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.64 : 45,951.92 = 15,889.20 : x
  2. Step 2: Convert to fraction form
    30,700.64/45,951.92 = 15,889.20/x
  3. Step 3: Cross multiply
    30,700.64x = 45,951.92 × 15,889.20
  4. Step 4: Simplify right side
    30,700.64x = 730,139,247.26
  5. Step 5: Solve for x
    x = 730,139,247.26/30,700.64
  6. Step 6: Final answer
    x = 23,782.54

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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.