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Finding the Fourth Proportional to 14,015.76, 20,966.18 and 12,784.20

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Solution

The fourth proportional to 14,015.76, 20,966.18 and 12,784.20 is: 19,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.76 : 20,966.18 = 12,784.20 : x
  2. Step 2: Convert to fraction form
    14,015.76/20,966.18 = 12,784.20/x
  3. Step 3: Cross multiply
    14,015.76x = 20,966.18 × 12,784.20
  4. Step 4: Simplify right side
    14,015.76x = 268,035,838.36
  5. Step 5: Solve for x
    x = 268,035,838.36/14,015.76
  6. Step 6: Final answer
    x = 19,123.89

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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.