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Finding the Fourth Proportional to 10,602, 14,632.55 and 6,128.33

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Solution

The fourth proportional to 10,602, 14,632.55 and 6,128.33 is: 8,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602 : 14,632.55 = 6,128.33 : x
  2. Step 2: Convert to fraction form
    10,602/14,632.55 = 6,128.33/x
  3. Step 3: Cross multiply
    10,602x = 14,632.55 × 6,128.33
  4. Step 4: Simplify right side
    10,602x = 89,673,147.04
  5. Step 5: Solve for x
    x = 89,673,147.04/10,602
  6. Step 6: Final answer
    x = 8,458.13

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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.