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Finding the Fourth Proportional to 9,702.75, 14,556.28 and 5,317.95

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Solution

The fourth proportional to 9,702.75, 14,556.28 and 5,317.95 is: 7,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.75 : 14,556.28 = 5,317.95 : x
  2. Step 2: Convert to fraction form
    9,702.75/14,556.28 = 5,317.95/x
  3. Step 3: Cross multiply
    9,702.75x = 14,556.28 × 5,317.95
  4. Step 4: Simplify right side
    9,702.75x = 77,409,569.23
  5. Step 5: Solve for x
    x = 77,409,569.23/9,702.75
  6. Step 6: Final answer
    x = 7,978.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.