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Finding the Fourth Proportional to 9,841.30, 13,572.63 and 8,315.70

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Solution

The fourth proportional to 9,841.30, 13,572.63 and 8,315.70 is: 11,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.30 : 13,572.63 = 8,315.70 : x
  2. Step 2: Convert to fraction form
    9,841.30/13,572.63 = 8,315.70/x
  3. Step 3: Cross multiply
    9,841.30x = 13,572.63 × 8,315.70
  4. Step 4: Simplify right side
    9,841.30x = 112,865,868.39
  5. Step 5: Solve for x
    x = 112,865,868.39/9,841.30
  6. Step 6: Final answer
    x = 11,468.60

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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.