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Finding the Fourth Proportional to 20,898.64, 31,356.12 and 9,203.64

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Solution

The fourth proportional to 20,898.64, 31,356.12 and 9,203.64 is: 13,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.64 : 31,356.12 = 9,203.64 : x
  2. Step 2: Convert to fraction form
    20,898.64/31,356.12 = 9,203.64/x
  3. Step 3: Cross multiply
    20,898.64x = 31,356.12 × 9,203.64
  4. Step 4: Simplify right side
    20,898.64x = 288,590,440.28
  5. Step 5: Solve for x
    x = 288,590,440.28/20,898.64
  6. Step 6: Final answer
    x = 13,809.05

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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.