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Finding the Fourth Proportional to 6,486.81, 8,953.91 and 4,807.68

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Solution

The fourth proportional to 6,486.81, 8,953.91 and 4,807.68 is: 6,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.81 : 8,953.91 = 4,807.68 : x
  2. Step 2: Convert to fraction form
    6,486.81/8,953.91 = 4,807.68/x
  3. Step 3: Cross multiply
    6,486.81x = 8,953.91 × 4,807.68
  4. Step 4: Simplify right side
    6,486.81x = 43,047,534.03
  5. Step 5: Solve for x
    x = 43,047,534.03/6,486.81
  6. Step 6: Final answer
    x = 6,636.16

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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.