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Finding the Fourth Proportional to 1,768.30, 2,440.14 and 971.64

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Solution

The fourth proportional to 1,768.30, 2,440.14 and 971.64 is: 1,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.30 : 2,440.14 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,768.30/2,440.14 = 971.64/x
  3. Step 3: Cross multiply
    1,768.30x = 2,440.14 × 971.64
  4. Step 4: Simplify right side
    1,768.30x = 2,370,937.63
  5. Step 5: Solve for x
    x = 2,370,937.63/1,768.30
  6. Step 6: Final answer
    x = 1,340.80

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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.