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Finding the Fourth Proportional to 42,682.54, 64,012.74 and 12,689.74

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Solution

The fourth proportional to 42,682.54, 64,012.74 and 12,689.74 is: 19,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.54 : 64,012.74 = 12,689.74 : x
  2. Step 2: Convert to fraction form
    42,682.54/64,012.74 = 12,689.74/x
  3. Step 3: Cross multiply
    42,682.54x = 64,012.74 × 12,689.74
  4. Step 4: Simplify right side
    42,682.54x = 812,305,027.29
  5. Step 5: Solve for x
    x = 812,305,027.29/42,682.54
  6. Step 6: Final answer
    x = 19,031.32

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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.