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Finding the Fourth Proportional to 8,946.54, 13,354.40 and 8,296.02

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Solution

The fourth proportional to 8,946.54, 13,354.40 and 8,296.02 is: 12,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.54 : 13,354.40 = 8,296.02 : x
  2. Step 2: Convert to fraction form
    8,946.54/13,354.40 = 8,296.02/x
  3. Step 3: Cross multiply
    8,946.54x = 13,354.40 × 8,296.02
  4. Step 4: Simplify right side
    8,946.54x = 110,788,369.49
  5. Step 5: Solve for x
    x = 110,788,369.49/8,946.54
  6. Step 6: Final answer
    x = 12,383.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.