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Finding the Fourth Proportional to 7,070, 10,602.96 and 2,138.48

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Solution

The fourth proportional to 7,070, 10,602.96 and 2,138.48 is: 3,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 10,602.96 = 2,138.48 : x
  2. Step 2: Convert to fraction form
    7,070/10,602.96 = 2,138.48/x
  3. Step 3: Cross multiply
    7,070x = 10,602.96 × 2,138.48
  4. Step 4: Simplify right side
    7,070x = 22,674,217.90
  5. Step 5: Solve for x
    x = 22,674,217.90/7,070
  6. Step 6: Final answer
    x = 3,207.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.