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Finding the Fourth Proportional to 6,424, 9,637.95 and 4,553.51

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Solution

The fourth proportional to 6,424, 9,637.95 and 4,553.51 is: 6,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 9,637.95 = 4,553.51 : x
  2. Step 2: Convert to fraction form
    6,424/9,637.95 = 4,553.51/x
  3. Step 3: Cross multiply
    6,424x = 9,637.95 × 4,553.51
  4. Step 4: Simplify right side
    6,424x = 43,886,501.70
  5. Step 5: Solve for x
    x = 43,886,501.70/6,424
  6. Step 6: Final answer
    x = 6,831.65

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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.