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Finding the Fourth Proportional to 4,054.84, 6,085.50 and 1,590.82

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Solution

The fourth proportional to 4,054.84, 6,085.50 and 1,590.82 is: 2,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.84 : 6,085.50 = 1,590.82 : x
  2. Step 2: Convert to fraction form
    4,054.84/6,085.50 = 1,590.82/x
  3. Step 3: Cross multiply
    4,054.84x = 6,085.50 × 1,590.82
  4. Step 4: Simplify right side
    4,054.84x = 9,680,935.11
  5. Step 5: Solve for x
    x = 9,680,935.11/4,054.84
  6. Step 6: Final answer
    x = 2,387.50

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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.