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Finding the Fourth Proportional to 6,368.92, 9,554.43 and 1,985.49

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Solution

The fourth proportional to 6,368.92, 9,554.43 and 1,985.49 is: 2,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.92 : 9,554.43 = 1,985.49 : x
  2. Step 2: Convert to fraction form
    6,368.92/9,554.43 = 1,985.49/x
  3. Step 3: Cross multiply
    6,368.92x = 9,554.43 × 1,985.49
  4. Step 4: Simplify right side
    6,368.92x = 18,970,225.22
  5. Step 5: Solve for x
    x = 18,970,225.22/6,368.92
  6. Step 6: Final answer
    x = 2,978.56

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1.5x scale

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.