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Finding the Fourth Proportional to 2,981.34, 4,472.90 and 1,423.32

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Solution

The fourth proportional to 2,981.34, 4,472.90 and 1,423.32 is: 2,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.34 : 4,472.90 = 1,423.32 : x
  2. Step 2: Convert to fraction form
    2,981.34/4,472.90 = 1,423.32/x
  3. Step 3: Cross multiply
    2,981.34x = 4,472.90 × 1,423.32
  4. Step 4: Simplify right side
    2,981.34x = 6,366,368.03
  5. Step 5: Solve for x
    x = 6,366,368.03/2,981.34
  6. Step 6: Final answer
    x = 2,135.40

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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.