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Finding the Fourth Proportional to 9,685.76, 13,364.70 and 5,707.04

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Solution

The fourth proportional to 9,685.76, 13,364.70 and 5,707.04 is: 7,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.76 : 13,364.70 = 5,707.04 : x
  2. Step 2: Convert to fraction form
    9,685.76/13,364.70 = 5,707.04/x
  3. Step 3: Cross multiply
    9,685.76x = 13,364.70 × 5,707.04
  4. Step 4: Simplify right side
    9,685.76x = 76,272,877.49
  5. Step 5: Solve for x
    x = 76,272,877.49/9,685.76
  6. Step 6: Final answer
    x = 7,874.74

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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.