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Finding the Fourth Proportional to 7,764.63, 11,638.74 and 5,293.32

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Solution

The fourth proportional to 7,764.63, 11,638.74 and 5,293.32 is: 7,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.63 : 11,638.74 = 5,293.32 : x
  2. Step 2: Convert to fraction form
    7,764.63/11,638.74 = 5,293.32/x
  3. Step 3: Cross multiply
    7,764.63x = 11,638.74 × 5,293.32
  4. Step 4: Simplify right side
    7,764.63x = 61,607,575.22
  5. Step 5: Solve for x
    x = 61,607,575.22/7,764.63
  6. Step 6: Final answer
    x = 7,934.39

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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.