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Finding the Fourth Proportional to 7,005.69, 9,664.65 and 4,486.56

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Solution

The fourth proportional to 7,005.69, 9,664.65 and 4,486.56 is: 6,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.69 : 9,664.65 = 4,486.56 : x
  2. Step 2: Convert to fraction form
    7,005.69/9,664.65 = 4,486.56/x
  3. Step 3: Cross multiply
    7,005.69x = 9,664.65 × 4,486.56
  4. Step 4: Simplify right side
    7,005.69x = 43,361,032.10
  5. Step 5: Solve for x
    x = 43,361,032.10/7,005.69
  6. Step 6: Final answer
    x = 6,189.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.