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Finding the Fourth Proportional to 15,978.49, 23,970.81 and 7,213.41

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Solution

The fourth proportional to 15,978.49, 23,970.81 and 7,213.41 is: 10,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.49 : 23,970.81 = 7,213.41 : x
  2. Step 2: Convert to fraction form
    15,978.49/23,970.81 = 7,213.41/x
  3. Step 3: Cross multiply
    15,978.49x = 23,970.81 × 7,213.41
  4. Step 4: Simplify right side
    15,978.49x = 172,911,280.56
  5. Step 5: Solve for x
    x = 172,911,280.56/15,978.49
  6. Step 6: Final answer
    x = 10,821.50

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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.