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Finding the Fourth Proportional to 1,953.71, 2,905.65 and 1,904.46

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Solution

The fourth proportional to 1,953.71, 2,905.65 and 1,904.46 is: 2,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.71 : 2,905.65 = 1,904.46 : x
  2. Step 2: Convert to fraction form
    1,953.71/2,905.65 = 1,904.46/x
  3. Step 3: Cross multiply
    1,953.71x = 2,905.65 × 1,904.46
  4. Step 4: Simplify right side
    1,953.71x = 5,533,694.20
  5. Step 5: Solve for x
    x = 5,533,694.20/1,953.71
  6. Step 6: Final answer
    x = 2,832.40

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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.