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Finding the Fourth Proportional to 6,488.61, 9,733.60 and 2,978.02

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Solution

The fourth proportional to 6,488.61, 9,733.60 and 2,978.02 is: 4,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.61 : 9,733.60 = 2,978.02 : x
  2. Step 2: Convert to fraction form
    6,488.61/9,733.60 = 2,978.02/x
  3. Step 3: Cross multiply
    6,488.61x = 9,733.60 × 2,978.02
  4. Step 4: Simplify right side
    6,488.61x = 28,986,848.03
  5. Step 5: Solve for x
    x = 28,986,848.03/6,488.61
  6. Step 6: Final answer
    x = 4,467.34

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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.