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Finding the Fourth Proportional to 6,460.89, 8,917.74 and 3,810.08

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Solution

The fourth proportional to 6,460.89, 8,917.74 and 3,810.08 is: 5,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.89 : 8,917.74 = 3,810.08 : x
  2. Step 2: Convert to fraction form
    6,460.89/8,917.74 = 3,810.08/x
  3. Step 3: Cross multiply
    6,460.89x = 8,917.74 × 3,810.08
  4. Step 4: Simplify right side
    6,460.89x = 33,977,258.23
  5. Step 5: Solve for x
    x = 33,977,258.23/6,460.89
  6. Step 6: Final answer
    x = 5,258.91

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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.