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Finding the Fourth Proportional to 5,412.31, 7,468.99 and 2,928.31

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Solution

The fourth proportional to 5,412.31, 7,468.99 and 2,928.31 is: 4,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.31 : 7,468.99 = 2,928.31 : x
  2. Step 2: Convert to fraction form
    5,412.31/7,468.99 = 2,928.31/x
  3. Step 3: Cross multiply
    5,412.31x = 7,468.99 × 2,928.31
  4. Step 4: Simplify right side
    5,412.31x = 21,871,492.11
  5. Step 5: Solve for x
    x = 21,871,492.11/5,412.31
  6. Step 6: Final answer
    x = 4,041.07

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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.