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Finding the Fourth Proportional to 4,689.09, 6,480.14 and 3,848.45

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Solution

The fourth proportional to 4,689.09, 6,480.14 and 3,848.45 is: 5,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.09 : 6,480.14 = 3,848.45 : x
  2. Step 2: Convert to fraction form
    4,689.09/6,480.14 = 3,848.45/x
  3. Step 3: Cross multiply
    4,689.09x = 6,480.14 × 3,848.45
  4. Step 4: Simplify right side
    4,689.09x = 24,938,443.14
  5. Step 5: Solve for x
    x = 24,938,443.14/4,689.09
  6. Step 6: Final answer
    x = 5,318.40

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Double scale
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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.