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Finding the Fourth Proportional to 25,303.25, 37,978.02 and 12,831.88

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Solution

The fourth proportional to 25,303.25, 37,978.02 and 12,831.88 is: 19,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,303.25 : 37,978.02 = 12,831.88 : x
  2. Step 2: Convert to fraction form
    25,303.25/37,978.02 = 12,831.88/x
  3. Step 3: Cross multiply
    25,303.25x = 37,978.02 × 12,831.88
  4. Step 4: Simplify right side
    25,303.25x = 487,329,395.28
  5. Step 5: Solve for x
    x = 487,329,395.28/25,303.25
  6. Step 6: Final answer
    x = 19,259.56

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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.