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Finding the Fourth Proportional to 8,946.40, 12,398.32 and 8,821.12

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Solution

The fourth proportional to 8,946.40, 12,398.32 and 8,821.12 is: 12,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.40 : 12,398.32 = 8,821.12 : x
  2. Step 2: Convert to fraction form
    8,946.40/12,398.32 = 8,821.12/x
  3. Step 3: Cross multiply
    8,946.40x = 12,398.32 × 8,821.12
  4. Step 4: Simplify right side
    8,946.40x = 109,367,068.52
  5. Step 5: Solve for x
    x = 109,367,068.52/8,946.40
  6. Step 6: Final answer
    x = 12,224.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.