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Finding the Fourth Proportional to 6,486.57, 9,668.15 and 6,117.48

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Solution

The fourth proportional to 6,486.57, 9,668.15 and 6,117.48 is: 9,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.57 : 9,668.15 = 6,117.48 : x
  2. Step 2: Convert to fraction form
    6,486.57/9,668.15 = 6,117.48/x
  3. Step 3: Cross multiply
    6,486.57x = 9,668.15 × 6,117.48
  4. Step 4: Simplify right side
    6,486.57x = 59,144,714.26
  5. Step 5: Solve for x
    x = 59,144,714.26/6,486.57
  6. Step 6: Final answer
    x = 9,118.03

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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.