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Finding the Fourth Proportional to 1,929.84, 2,663.16 and 1,045.63

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Solution

The fourth proportional to 1,929.84, 2,663.16 and 1,045.63 is: 1,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.84 : 2,663.16 = 1,045.63 : x
  2. Step 2: Convert to fraction form
    1,929.84/2,663.16 = 1,045.63/x
  3. Step 3: Cross multiply
    1,929.84x = 2,663.16 × 1,045.63
  4. Step 4: Simplify right side
    1,929.84x = 2,784,679.99
  5. Step 5: Solve for x
    x = 2,784,679.99/1,929.84
  6. Step 6: Final answer
    x = 1,442.96

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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.