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Finding the Fourth Proportional to 19,520, 26,937.60 and 14,219.28

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Solution

The fourth proportional to 19,520, 26,937.60 and 14,219.28 is: 19,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520 : 26,937.60 = 14,219.28 : x
  2. Step 2: Convert to fraction form
    19,520/26,937.60 = 14,219.28/x
  3. Step 3: Cross multiply
    19,520x = 26,937.60 × 14,219.28
  4. Step 4: Simplify right side
    19,520x = 383,033,276.93
  5. Step 5: Solve for x
    x = 383,033,276.93/19,520
  6. Step 6: Final answer
    x = 19,622.61

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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.