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Finding the Fourth Proportional to 1,784, 2,665.16 and 1,492.40

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Solution

The fourth proportional to 1,784, 2,665.16 and 1,492.40 is: 2,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,665.16 = 1,492.40 : x
  2. Step 2: Convert to fraction form
    1,784/2,665.16 = 1,492.40/x
  3. Step 3: Cross multiply
    1,784x = 2,665.16 × 1,492.40
  4. Step 4: Simplify right side
    1,784x = 3,977,484.78
  5. Step 5: Solve for x
    x = 3,977,484.78/1,784
  6. Step 6: Final answer
    x = 2,229.53

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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.