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Finding the Fourth Proportional to 8,407, 11,582.34 and 6,637.96

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Solution

The fourth proportional to 8,407, 11,582.34 and 6,637.96 is: 9,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407 : 11,582.34 = 6,637.96 : x
  2. Step 2: Convert to fraction form
    8,407/11,582.34 = 6,637.96/x
  3. Step 3: Cross multiply
    8,407x = 11,582.34 × 6,637.96
  4. Step 4: Simplify right side
    8,407x = 76,883,109.63
  5. Step 5: Solve for x
    x = 76,883,109.63/8,407
  6. Step 6: Final answer
    x = 9,145.13

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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.