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Finding the Fourth Proportional to 7,244.90, 9,985.23 and 5,978.48

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Solution

The fourth proportional to 7,244.90, 9,985.23 and 5,978.48 is: 8,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.90 : 9,985.23 = 5,978.48 : x
  2. Step 2: Convert to fraction form
    7,244.90/9,985.23 = 5,978.48/x
  3. Step 3: Cross multiply
    7,244.90x = 9,985.23 × 5,978.48
  4. Step 4: Simplify right side
    7,244.90x = 59,696,497.85
  5. Step 5: Solve for x
    x = 59,696,497.85/7,244.90
  6. Step 6: Final answer
    x = 8,239.80

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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.