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Finding the Fourth Proportional to 7,080, 10,602.06 and 4,267.14

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Solution

The fourth proportional to 7,080, 10,602.06 and 4,267.14 is: 6,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 10,602.06 = 4,267.14 : x
  2. Step 2: Convert to fraction form
    7,080/10,602.06 = 4,267.14/x
  3. Step 3: Cross multiply
    7,080x = 10,602.06 × 4,267.14
  4. Step 4: Simplify right side
    7,080x = 45,240,474.31
  5. Step 5: Solve for x
    x = 45,240,474.31/7,080
  6. Step 6: Final answer
    x = 6,389.90

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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.