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Finding the Fourth Proportional to 19,321, 28,970.85 and 5,990.31

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Solution

The fourth proportional to 19,321, 28,970.85 and 5,990.31 is: 8,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321 : 28,970.85 = 5,990.31 : x
  2. Step 2: Convert to fraction form
    19,321/28,970.85 = 5,990.31/x
  3. Step 3: Cross multiply
    19,321x = 28,970.85 × 5,990.31
  4. Step 4: Simplify right side
    19,321x = 173,544,372.46
  5. Step 5: Solve for x
    x = 173,544,372.46/19,321
  6. Step 6: Final answer
    x = 8,982.16

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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.