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Finding the Fourth Proportional to 7,708.16, 10,630.68 and 5,355.92

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Solution

The fourth proportional to 7,708.16, 10,630.68 and 5,355.92 is: 7,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.16 : 10,630.68 = 5,355.92 : x
  2. Step 2: Convert to fraction form
    7,708.16/10,630.68 = 5,355.92/x
  3. Step 3: Cross multiply
    7,708.16x = 10,630.68 × 5,355.92
  4. Step 4: Simplify right side
    7,708.16x = 56,937,071.63
  5. Step 5: Solve for x
    x = 56,937,071.63/7,708.16
  6. Step 6: Final answer
    x = 7,386.60

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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.