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Finding the Fourth Proportional to 8,742.84, 13,114.02 and 2,903.64

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Solution

The fourth proportional to 8,742.84, 13,114.02 and 2,903.64 is: 4,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.84 : 13,114.02 = 2,903.64 : x
  2. Step 2: Convert to fraction form
    8,742.84/13,114.02 = 2,903.64/x
  3. Step 3: Cross multiply
    8,742.84x = 13,114.02 × 2,903.64
  4. Step 4: Simplify right side
    8,742.84x = 38,078,393.03
  5. Step 5: Solve for x
    x = 38,078,393.03/8,742.84
  6. Step 6: Final answer
    x = 4,355.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.