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Finding the Fourth Proportional to 1,970.84, 2,945.57 and 1,815.16

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Solution

The fourth proportional to 1,970.84, 2,945.57 and 1,815.16 is: 2,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.84 : 2,945.57 = 1,815.16 : x
  2. Step 2: Convert to fraction form
    1,970.84/2,945.57 = 1,815.16/x
  3. Step 3: Cross multiply
    1,970.84x = 2,945.57 × 1,815.16
  4. Step 4: Simplify right side
    1,970.84x = 5,346,680.84
  5. Step 5: Solve for x
    x = 5,346,680.84/1,970.84
  6. Step 6: Final answer
    x = 2,712.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.