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Finding the Fourth Proportional to 8,470, 11,688.96 and 4,932.64

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Solution

The fourth proportional to 8,470, 11,688.96 and 4,932.64 is: 6,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 11,688.96 = 4,932.64 : x
  2. Step 2: Convert to fraction form
    8,470/11,688.96 = 4,932.64/x
  3. Step 3: Cross multiply
    8,470x = 11,688.96 × 4,932.64
  4. Step 4: Simplify right side
    8,470x = 57,657,431.65
  5. Step 5: Solve for x
    x = 57,657,431.65/8,470
  6. Step 6: Final answer
    x = 6,807.25

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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.