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Finding the Fourth Proportional to 5,703.16, 7,870.06 and 3,219

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Solution

The fourth proportional to 5,703.16, 7,870.06 and 3,219 is: 4,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.16 : 7,870.06 = 3,219 : x
  2. Step 2: Convert to fraction form
    5,703.16/7,870.06 = 3,219/x
  3. Step 3: Cross multiply
    5,703.16x = 7,870.06 × 3,219
  4. Step 4: Simplify right side
    5,703.16x = 25,333,723.14
  5. Step 5: Solve for x
    x = 25,333,723.14/5,703.16
  6. Step 6: Final answer
    x = 4,442.05

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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.