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Finding the Fourth Proportional to 7,978.04, 11,972.05 and 3,048.10

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Solution

The fourth proportional to 7,978.04, 11,972.05 and 3,048.10 is: 4,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.04 : 11,972.05 = 3,048.10 : x
  2. Step 2: Convert to fraction form
    7,978.04/11,972.05 = 3,048.10/x
  3. Step 3: Cross multiply
    7,978.04x = 11,972.05 × 3,048.10
  4. Step 4: Simplify right side
    7,978.04x = 36,492,005.61
  5. Step 5: Solve for x
    x = 36,492,005.61/7,978.04
  6. Step 6: Final answer
    x = 4,574.06

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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.