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Finding the Fourth Proportional to 21,970.34, 30,319.16 and 11,898.90

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Solution

The fourth proportional to 21,970.34, 30,319.16 and 11,898.90 is: 16,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.34 : 30,319.16 = 11,898.90 : x
  2. Step 2: Convert to fraction form
    21,970.34/30,319.16 = 11,898.90/x
  3. Step 3: Cross multiply
    21,970.34x = 30,319.16 × 11,898.90
  4. Step 4: Simplify right side
    21,970.34x = 360,764,652.92
  5. Step 5: Solve for x
    x = 360,764,652.92/21,970.34
  6. Step 6: Final answer
    x = 16,420.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.