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Finding the Fourth Proportional to 1,853, 2,555.93 and 1,188.80

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Solution

The fourth proportional to 1,853, 2,555.93 and 1,188.80 is: 1,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853 : 2,555.93 = 1,188.80 : x
  2. Step 2: Convert to fraction form
    1,853/2,555.93 = 1,188.80/x
  3. Step 3: Cross multiply
    1,853x = 2,555.93 × 1,188.80
  4. Step 4: Simplify right side
    1,853x = 3,038,483.64
  5. Step 5: Solve for x
    x = 3,038,483.64/1,853
  6. Step 6: Final answer
    x = 1,639.76

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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.