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Finding the Fourth Proportional to 4,978.74, 7,468.49 and 1,281.00

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Solution

The fourth proportional to 4,978.74, 7,468.49 and 1,281.00 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.74 : 7,468.49 = 1,281.00 : x
  2. Step 2: Convert to fraction form
    4,978.74/7,468.49 = 1,281.00/x
  3. Step 3: Cross multiply
    4,978.74x = 7,468.49 × 1,281.00
  4. Step 4: Simplify right side
    4,978.74x = 9,567,154.36
  5. Step 5: Solve for x
    x = 9,567,154.36/4,978.74
  6. Step 6: Final answer
    x = 1,921.60

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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.