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Finding the Fourth Proportional to 10,409.31, 15,603.03 and 3,831.30

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Solution

The fourth proportional to 10,409.31, 15,603.03 and 3,831.30 is: 5,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.31 : 15,603.03 = 3,831.30 : x
  2. Step 2: Convert to fraction form
    10,409.31/15,603.03 = 3,831.30/x
  3. Step 3: Cross multiply
    10,409.31x = 15,603.03 × 3,831.30
  4. Step 4: Simplify right side
    10,409.31x = 59,779,888.84
  5. Step 5: Solve for x
    x = 59,779,888.84/10,409.31
  6. Step 6: Final answer
    x = 5,742.93

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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.