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Finding the Fourth Proportional to 30,410.84, 45,630.70 and 21,065.24

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Solution

The fourth proportional to 30,410.84, 45,630.70 and 21,065.24 is: 31,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.84 : 45,630.70 = 21,065.24 : x
  2. Step 2: Convert to fraction form
    30,410.84/45,630.70 = 21,065.24/x
  3. Step 3: Cross multiply
    30,410.84x = 45,630.70 × 21,065.24
  4. Step 4: Simplify right side
    30,410.84x = 961,221,646.87
  5. Step 5: Solve for x
    x = 961,221,646.87/30,410.84
  6. Step 6: Final answer
    x = 31,607.86

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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.