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Finding the Fourth Proportional to 1,894, 2,842.62 and 740.56

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Solution

The fourth proportional to 1,894, 2,842.62 and 740.56 is: 1,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894 : 2,842.62 = 740.56 : x
  2. Step 2: Convert to fraction form
    1,894/2,842.62 = 740.56/x
  3. Step 3: Cross multiply
    1,894x = 2,842.62 × 740.56
  4. Step 4: Simplify right side
    1,894x = 2,105,130.67
  5. Step 5: Solve for x
    x = 2,105,130.67/1,894
  6. Step 6: Final answer
    x = 1,111.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.