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Finding the Fourth Proportional to 47,970.40, 71,949.12 and 12,912.16

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Solution

The fourth proportional to 47,970.40, 71,949.12 and 12,912.16 is: 19,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970.40 : 71,949.12 = 12,912.16 : x
  2. Step 2: Convert to fraction form
    47,970.40/71,949.12 = 12,912.16/x
  3. Step 3: Cross multiply
    47,970.40x = 71,949.12 × 12,912.16
  4. Step 4: Simplify right side
    47,970.40x = 929,018,549.30
  5. Step 5: Solve for x
    x = 929,018,549.30/47,970.40
  6. Step 6: Final answer
    x = 19,366.50

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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.