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Finding the Fourth Proportional to 5,322.94, 7,984.51 and 1,860.19

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Solution

The fourth proportional to 5,322.94, 7,984.51 and 1,860.19 is: 2,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.94 : 7,984.51 = 1,860.19 : x
  2. Step 2: Convert to fraction form
    5,322.94/7,984.51 = 1,860.19/x
  3. Step 3: Cross multiply
    5,322.94x = 7,984.51 × 1,860.19
  4. Step 4: Simplify right side
    5,322.94x = 14,852,681.05
  5. Step 5: Solve for x
    x = 14,852,681.05/5,322.94
  6. Step 6: Final answer
    x = 2,790.32

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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.