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Finding the Fourth Proportional to 6,486.96, 9,730.52 and 1,870

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Solution

The fourth proportional to 6,486.96, 9,730.52 and 1,870 is: 2,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.96 : 9,730.52 = 1,870 : x
  2. Step 2: Convert to fraction form
    6,486.96/9,730.52 = 1,870/x
  3. Step 3: Cross multiply
    6,486.96x = 9,730.52 × 1,870
  4. Step 4: Simplify right side
    6,486.96x = 18,196,072.40
  5. Step 5: Solve for x
    x = 18,196,072.40/6,486.96
  6. Step 6: Final answer
    x = 2,805.02

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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.