Home / 5,214.84-7,821.58-1,319.01

Finding the Fourth Proportional to 5,214.84, 7,821.58 and 1,319.01

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Solution

The fourth proportional to 5,214.84, 7,821.58 and 1,319.01 is: 1,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.84 : 7,821.58 = 1,319.01 : x
  2. Step 2: Convert to fraction form
    5,214.84/7,821.58 = 1,319.01/x
  3. Step 3: Cross multiply
    5,214.84x = 7,821.58 × 1,319.01
  4. Step 4: Simplify right side
    5,214.84x = 10,316,742.24
  5. Step 5: Solve for x
    x = 10,316,742.24/5,214.84
  6. Step 6: Final answer
    x = 1,978.34

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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.