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Finding the Fourth Proportional to 1,663.93, 2,492.25 and 1,047.93

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Solution

The fourth proportional to 1,663.93, 2,492.25 and 1,047.93 is: 1,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.93 : 2,492.25 = 1,047.93 : x
  2. Step 2: Convert to fraction form
    1,663.93/2,492.25 = 1,047.93/x
  3. Step 3: Cross multiply
    1,663.93x = 2,492.25 × 1,047.93
  4. Step 4: Simplify right side
    1,663.93x = 2,611,703.54
  5. Step 5: Solve for x
    x = 2,611,703.54/1,663.93
  6. Step 6: Final answer
    x = 1,569.60

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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.