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Finding the Fourth Proportional to 30,989.40, 46,532.70 and 17,867.40

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Solution

The fourth proportional to 30,989.40, 46,532.70 and 17,867.40 is: 26,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.40 : 46,532.70 = 17,867.40 : x
  2. Step 2: Convert to fraction form
    30,989.40/46,532.70 = 17,867.40/x
  3. Step 3: Cross multiply
    30,989.40x = 46,532.70 × 17,867.40
  4. Step 4: Simplify right side
    30,989.40x = 831,418,363.98
  5. Step 5: Solve for x
    x = 831,418,363.98/30,989.40
  6. Step 6: Final answer
    x = 26,829.12

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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.