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Finding the Fourth Proportional to 12,905.34, 17,812.08 and 7,602

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Solution

The fourth proportional to 12,905.34, 17,812.08 and 7,602 is: 10,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.34 : 17,812.08 = 7,602 : x
  2. Step 2: Convert to fraction form
    12,905.34/17,812.08 = 7,602/x
  3. Step 3: Cross multiply
    12,905.34x = 17,812.08 × 7,602
  4. Step 4: Simplify right side
    12,905.34x = 135,407,432.16
  5. Step 5: Solve for x
    x = 135,407,432.16/12,905.34
  6. Step 6: Final answer
    x = 10,492.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.