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Finding the Fourth Proportional to 1,973.45, 2,714.97 and 1,918.78

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Solution

The fourth proportional to 1,973.45, 2,714.97 and 1,918.78 is: 2,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.45 : 2,714.97 = 1,918.78 : x
  2. Step 2: Convert to fraction form
    1,973.45/2,714.97 = 1,918.78/x
  3. Step 3: Cross multiply
    1,973.45x = 2,714.97 × 1,918.78
  4. Step 4: Simplify right side
    1,973.45x = 5,209,430.14
  5. Step 5: Solve for x
    x = 5,209,430.14/1,973.45
  6. Step 6: Final answer
    x = 2,639.76

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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.