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Finding the Fourth Proportional to 9,862.75, 13,610.93 and 5,386.77

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Solution

The fourth proportional to 9,862.75, 13,610.93 and 5,386.77 is: 7,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.75 : 13,610.93 = 5,386.77 : x
  2. Step 2: Convert to fraction form
    9,862.75/13,610.93 = 5,386.77/x
  3. Step 3: Cross multiply
    9,862.75x = 13,610.93 × 5,386.77
  4. Step 4: Simplify right side
    9,862.75x = 73,318,922.46
  5. Step 5: Solve for x
    x = 73,318,922.46/9,862.75
  6. Step 6: Final answer
    x = 7,433.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.