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Finding the Fourth Proportional to 12,900.96, 17,802.72 and 7,310.88

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Solution

The fourth proportional to 12,900.96, 17,802.72 and 7,310.88 is: 10,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.96 : 17,802.72 = 7,310.88 : x
  2. Step 2: Convert to fraction form
    12,900.96/17,802.72 = 7,310.88/x
  3. Step 3: Cross multiply
    12,900.96x = 17,802.72 × 7,310.88
  4. Step 4: Simplify right side
    12,900.96x = 130,153,549.59
  5. Step 5: Solve for x
    x = 130,153,549.59/12,900.96
  6. Step 6: Final answer
    x = 10,088.67

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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.