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Finding the Fourth Proportional to 1,902, 2,624.76 and 1,074

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Solution

The fourth proportional to 1,902, 2,624.76 and 1,074 is: 1,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902 : 2,624.76 = 1,074 : x
  2. Step 2: Convert to fraction form
    1,902/2,624.76 = 1,074/x
  3. Step 3: Cross multiply
    1,902x = 2,624.76 × 1,074
  4. Step 4: Simplify right side
    1,902x = 2,818,992.24
  5. Step 5: Solve for x
    x = 2,818,992.24/1,902
  6. Step 6: Final answer
    x = 1,482.12

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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.