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Finding the Fourth Proportional to 7,978.04, 11,012.20 and 6,484.80

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Solution

The fourth proportional to 7,978.04, 11,012.20 and 6,484.80 is: 8,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.04 : 11,012.20 = 6,484.80 : x
  2. Step 2: Convert to fraction form
    7,978.04/11,012.20 = 6,484.80/x
  3. Step 3: Cross multiply
    7,978.04x = 11,012.20 × 6,484.80
  4. Step 4: Simplify right side
    7,978.04x = 71,411,914.56
  5. Step 5: Solve for x
    x = 71,411,914.56/7,978.04
  6. Step 6: Final answer
    x = 8,951.06

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1.5x scale

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.