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Finding the Fourth Proportional to 6,445.44, 9,668.16 and 2,985.12

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Solution

The fourth proportional to 6,445.44, 9,668.16 and 2,985.12 is: 4,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.44 : 9,668.16 = 2,985.12 : x
  2. Step 2: Convert to fraction form
    6,445.44/9,668.16 = 2,985.12/x
  3. Step 3: Cross multiply
    6,445.44x = 9,668.16 × 2,985.12
  4. Step 4: Simplify right side
    6,445.44x = 28,860,617.78
  5. Step 5: Solve for x
    x = 28,860,617.78/6,445.44
  6. Step 6: Final answer
    x = 4,477.68

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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.