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Finding the Fourth Proportional to 13,981.60, 20,923.80 and 12,815.20

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Solution

The fourth proportional to 13,981.60, 20,923.80 and 12,815.20 is: 19,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.60 : 20,923.80 = 12,815.20 : x
  2. Step 2: Convert to fraction form
    13,981.60/20,923.80 = 12,815.20/x
  3. Step 3: Cross multiply
    13,981.60x = 20,923.80 × 12,815.20
  4. Step 4: Simplify right side
    13,981.60x = 268,142,681.76
  5. Step 5: Solve for x
    x = 268,142,681.76/13,981.60
  6. Step 6: Final answer
    x = 19,178.25

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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.