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Finding the Fourth Proportional to 4,938.77, 6,808.43 and 4,088.54

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Solution

The fourth proportional to 4,938.77, 6,808.43 and 4,088.54 is: 5,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.77 : 6,808.43 = 4,088.54 : x
  2. Step 2: Convert to fraction form
    4,938.77/6,808.43 = 4,088.54/x
  3. Step 3: Cross multiply
    4,938.77x = 6,808.43 × 4,088.54
  4. Step 4: Simplify right side
    4,938.77x = 27,836,483.91
  5. Step 5: Solve for x
    x = 27,836,483.91/4,938.77
  6. Step 6: Final answer
    x = 5,636.32

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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.