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Finding the Fourth Proportional to 6,402.56, 8,829.60 and 4,415.36

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Solution

The fourth proportional to 6,402.56, 8,829.60 and 4,415.36 is: 6,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.56 : 8,829.60 = 4,415.36 : x
  2. Step 2: Convert to fraction form
    6,402.56/8,829.60 = 4,415.36/x
  3. Step 3: Cross multiply
    6,402.56x = 8,829.60 × 4,415.36
  4. Step 4: Simplify right side
    6,402.56x = 38,985,862.66
  5. Step 5: Solve for x
    x = 38,985,862.66/6,402.56
  6. Step 6: Final answer
    x = 6,089.11

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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.