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Finding the Fourth Proportional to 7,697.57, 11,546.35 and 1,854.16

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Solution

The fourth proportional to 7,697.57, 11,546.35 and 1,854.16 is: 2,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.57 : 11,546.35 = 1,854.16 : x
  2. Step 2: Convert to fraction form
    7,697.57/11,546.35 = 1,854.16/x
  3. Step 3: Cross multiply
    7,697.57x = 11,546.35 × 1,854.16
  4. Step 4: Simplify right side
    7,697.57x = 21,408,746.81
  5. Step 5: Solve for x
    x = 21,408,746.81/7,697.57
  6. Step 6: Final answer
    x = 2,781.24

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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.