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Finding the Fourth Proportional to 8,071.85, 12,124.38 and 5,302.46

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Solution

The fourth proportional to 8,071.85, 12,124.38 and 5,302.46 is: 7,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.85 : 12,124.38 = 5,302.46 : x
  2. Step 2: Convert to fraction form
    8,071.85/12,124.38 = 5,302.46/x
  3. Step 3: Cross multiply
    8,071.85x = 12,124.38 × 5,302.46
  4. Step 4: Simplify right side
    8,071.85x = 64,289,090.17
  5. Step 5: Solve for x
    x = 64,289,090.17/8,071.85
  6. Step 6: Final answer
    x = 7,964.60

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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.