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Finding the Fourth Proportional to 30,653, 45,711.26 and 30,372.74

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Solution

The fourth proportional to 30,653, 45,711.26 and 30,372.74 is: 45,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653 : 45,711.26 = 30,372.74 : x
  2. Step 2: Convert to fraction form
    30,653/45,711.26 = 30,372.74/x
  3. Step 3: Cross multiply
    30,653x = 45,711.26 × 30,372.74
  4. Step 4: Simplify right side
    30,653x = 1,388,376,215.05
  5. Step 5: Solve for x
    x = 1,388,376,215.05/30,653
  6. Step 6: Final answer
    x = 45,293.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.