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Finding the Fourth Proportional to 4,831.38, 7,248.80 and 2,980.34

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Solution

The fourth proportional to 4,831.38, 7,248.80 and 2,980.34 is: 4,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.38 : 7,248.80 = 2,980.34 : x
  2. Step 2: Convert to fraction form
    4,831.38/7,248.80 = 2,980.34/x
  3. Step 3: Cross multiply
    4,831.38x = 7,248.80 × 2,980.34
  4. Step 4: Simplify right side
    4,831.38x = 21,603,931.95
  5. Step 5: Solve for x
    x = 21,603,931.95/4,831.38
  6. Step 6: Final answer
    x = 4,471.58

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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.