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Finding the Fourth Proportional to 5,205.79, 7,184.09 and 2,848.08

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Solution

The fourth proportional to 5,205.79, 7,184.09 and 2,848.08 is: 3,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.79 : 7,184.09 = 2,848.08 : x
  2. Step 2: Convert to fraction form
    5,205.79/7,184.09 = 2,848.08/x
  3. Step 3: Cross multiply
    5,205.79x = 7,184.09 × 2,848.08
  4. Step 4: Simplify right side
    5,205.79x = 20,460,848.81
  5. Step 5: Solve for x
    x = 20,460,848.81/5,205.79
  6. Step 6: Final answer
    x = 3,930.40

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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.