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Finding the Fourth Proportional to 8,509, 11,742.44 and 4,974.16

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Solution

The fourth proportional to 8,509, 11,742.44 and 4,974.16 is: 6,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 11,742.44 = 4,974.16 : x
  2. Step 2: Convert to fraction form
    8,509/11,742.44 = 4,974.16/x
  3. Step 3: Cross multiply
    8,509x = 11,742.44 × 4,974.16
  4. Step 4: Simplify right side
    8,509x = 58,408,775.35
  5. Step 5: Solve for x
    x = 58,408,775.35/8,509
  6. Step 6: Final answer
    x = 6,864.35

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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.