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Finding the Fourth Proportional to 6,154.46, 8,495.90 and 4,788.64

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Solution

The fourth proportional to 6,154.46, 8,495.90 and 4,788.64 is: 6,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.46 : 8,495.90 = 4,788.64 : x
  2. Step 2: Convert to fraction form
    6,154.46/8,495.90 = 4,788.64/x
  3. Step 3: Cross multiply
    6,154.46x = 8,495.90 × 4,788.64
  4. Step 4: Simplify right side
    6,154.46x = 40,683,790.36
  5. Step 5: Solve for x
    x = 40,683,790.36/6,154.46
  6. Step 6: Final answer
    x = 6,610.45

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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.