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Finding the Fourth Proportional to 4,921.93, 7,381.80 and 1,411.93

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Solution

The fourth proportional to 4,921.93, 7,381.80 and 1,411.93 is: 2,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.93 : 7,381.80 = 1,411.93 : x
  2. Step 2: Convert to fraction form
    4,921.93/7,381.80 = 1,411.93/x
  3. Step 3: Cross multiply
    4,921.93x = 7,381.80 × 1,411.93
  4. Step 4: Simplify right side
    4,921.93x = 10,422,566.42
  5. Step 5: Solve for x
    x = 10,422,566.42/4,921.93
  6. Step 6: Final answer
    x = 2,117.58

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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.