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Finding the Fourth Proportional to 6,308.64, 8,686.80 and 4,978.08

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Solution

The fourth proportional to 6,308.64, 8,686.80 and 4,978.08 is: 6,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.64 : 8,686.80 = 4,978.08 : x
  2. Step 2: Convert to fraction form
    6,308.64/8,686.80 = 4,978.08/x
  3. Step 3: Cross multiply
    6,308.64x = 8,686.80 × 4,978.08
  4. Step 4: Simplify right side
    6,308.64x = 43,243,585.34
  5. Step 5: Solve for x
    x = 43,243,585.34/6,308.64
  6. Step 6: Final answer
    x = 6,854.66

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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.