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Finding the Fourth Proportional to 20,817.60, 28,737.60 and 15,782.40

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Solution

The fourth proportional to 20,817.60, 28,737.60 and 15,782.40 is: 21,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.60 : 28,737.60 = 15,782.40 : x
  2. Step 2: Convert to fraction form
    20,817.60/28,737.60 = 15,782.40/x
  3. Step 3: Cross multiply
    20,817.60x = 28,737.60 × 15,782.40
  4. Step 4: Simplify right side
    20,817.60x = 453,548,298.24
  5. Step 5: Solve for x
    x = 453,548,298.24/20,817.60
  6. Step 6: Final answer
    x = 21,786.77

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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.