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Finding the Fourth Proportional to 6,646.80, 9,946.80 and 4,556.88

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Solution

The fourth proportional to 6,646.80, 9,946.80 and 4,556.88 is: 6,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.80 : 9,946.80 = 4,556.88 : x
  2. Step 2: Convert to fraction form
    6,646.80/9,946.80 = 4,556.88/x
  3. Step 3: Cross multiply
    6,646.80x = 9,946.80 × 4,556.88
  4. Step 4: Simplify right side
    6,646.80x = 45,326,373.98
  5. Step 5: Solve for x
    x = 45,326,373.98/6,646.80
  6. Step 6: Final answer
    x = 6,819.28

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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.