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Finding the Fourth Proportional to 25,364, 38,045.28 and 7,831.28

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Solution

The fourth proportional to 25,364, 38,045.28 and 7,831.28 is: 11,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364 : 38,045.28 = 7,831.28 : x
  2. Step 2: Convert to fraction form
    25,364/38,045.28 = 7,831.28/x
  3. Step 3: Cross multiply
    25,364x = 38,045.28 × 7,831.28
  4. Step 4: Simplify right side
    25,364x = 297,943,240.36
  5. Step 5: Solve for x
    x = 297,943,240.36/25,364
  6. Step 6: Final answer
    x = 11,746.70

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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.