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Finding the Fourth Proportional to 1,954.42, 2,913.53 and 1,924.45

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Solution

The fourth proportional to 1,954.42, 2,913.53 and 1,924.45 is: 2,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.42 : 2,913.53 = 1,924.45 : x
  2. Step 2: Convert to fraction form
    1,954.42/2,913.53 = 1,924.45/x
  3. Step 3: Cross multiply
    1,954.42x = 2,913.53 × 1,924.45
  4. Step 4: Simplify right side
    1,954.42x = 5,606,925.90
  5. Step 5: Solve for x
    x = 5,606,925.90/1,954.42
  6. Step 6: Final answer
    x = 2,868.85

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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.