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Finding the Fourth Proportional to 4,978.28, 7,462.21 and 1,857.03

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Solution

The fourth proportional to 4,978.28, 7,462.21 and 1,857.03 is: 2,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.28 : 7,462.21 = 1,857.03 : x
  2. Step 2: Convert to fraction form
    4,978.28/7,462.21 = 1,857.03/x
  3. Step 3: Cross multiply
    4,978.28x = 7,462.21 × 1,857.03
  4. Step 4: Simplify right side
    4,978.28x = 13,857,547.84
  5. Step 5: Solve for x
    x = 13,857,547.84/4,978.28
  6. Step 6: Final answer
    x = 2,783.60

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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.