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Finding the Fourth Proportional to 2,946.63, 4,420.08 and 972.43

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Solution

The fourth proportional to 2,946.63, 4,420.08 and 972.43 is: 1,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.63 : 4,420.08 = 972.43 : x
  2. Step 2: Convert to fraction form
    2,946.63/4,420.08 = 972.43/x
  3. Step 3: Cross multiply
    2,946.63x = 4,420.08 × 972.43
  4. Step 4: Simplify right side
    2,946.63x = 4,298,217.58
  5. Step 5: Solve for x
    x = 4,298,217.58/2,946.63
  6. Step 6: Final answer
    x = 1,458.69

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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.