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Finding the Fourth Proportional to 6,587.21, 9,887.78 and 6,438.48

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Solution

The fourth proportional to 6,587.21, 9,887.78 and 6,438.48 is: 9,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.21 : 9,887.78 = 6,438.48 : x
  2. Step 2: Convert to fraction form
    6,587.21/9,887.78 = 6,438.48/x
  3. Step 3: Cross multiply
    6,587.21x = 9,887.78 × 6,438.48
  4. Step 4: Simplify right side
    6,587.21x = 63,662,271.33
  5. Step 5: Solve for x
    x = 63,662,271.33/6,587.21
  6. Step 6: Final answer
    x = 9,664.52

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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.