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Finding the Fourth Proportional to 2,153.85, 2,972.60 and 1,269.74

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Solution

The fourth proportional to 2,153.85, 2,972.60 and 1,269.74 is: 1,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.85 : 2,972.60 = 1,269.74 : x
  2. Step 2: Convert to fraction form
    2,153.85/2,972.60 = 1,269.74/x
  3. Step 3: Cross multiply
    2,153.85x = 2,972.60 × 1,269.74
  4. Step 4: Simplify right side
    2,153.85x = 3,774,407.91
  5. Step 5: Solve for x
    x = 3,774,407.91/2,153.85
  6. Step 6: Final answer
    x = 1,752.40

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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.