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Finding the Fourth Proportional to 8,478.98, 11,710.88 and 6,783.37

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Solution

The fourth proportional to 8,478.98, 11,710.88 and 6,783.37 is: 9,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.98 : 11,710.88 = 6,783.37 : x
  2. Step 2: Convert to fraction form
    8,478.98/11,710.88 = 6,783.37/x
  3. Step 3: Cross multiply
    8,478.98x = 11,710.88 × 6,783.37
  4. Step 4: Simplify right side
    8,478.98x = 79,439,232.07
  5. Step 5: Solve for x
    x = 79,439,232.07/8,478.98
  6. Step 6: Final answer
    x = 9,368.96

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1.5x scale

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.