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Finding the Fourth Proportional to 3,163.58, 4,746.27 and 972.63

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Solution

The fourth proportional to 3,163.58, 4,746.27 and 972.63 is: 1,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.58 : 4,746.27 = 972.63 : x
  2. Step 2: Convert to fraction form
    3,163.58/4,746.27 = 972.63/x
  3. Step 3: Cross multiply
    3,163.58x = 4,746.27 × 972.63
  4. Step 4: Simplify right side
    3,163.58x = 4,616,364.59
  5. Step 5: Solve for x
    x = 4,616,364.59/3,163.58
  6. Step 6: Final answer
    x = 1,459.22

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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.