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Finding the Fourth Proportional to 9,866.63, 13,615.95 and 5,675.15

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Solution

The fourth proportional to 9,866.63, 13,615.95 and 5,675.15 is: 7,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.63 : 13,615.95 = 5,675.15 : x
  2. Step 2: Convert to fraction form
    9,866.63/13,615.95 = 5,675.15/x
  3. Step 3: Cross multiply
    9,866.63x = 13,615.95 × 5,675.15
  4. Step 4: Simplify right side
    9,866.63x = 77,272,490.56
  5. Step 5: Solve for x
    x = 77,272,490.56/9,866.63
  6. Step 6: Final answer
    x = 7,831.70

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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.