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Finding the Fourth Proportional to 9,783.80, 13,507.50 and 6,432.22

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Solution

The fourth proportional to 9,783.80, 13,507.50 and 6,432.22 is: 8,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.80 : 13,507.50 = 6,432.22 : x
  2. Step 2: Convert to fraction form
    9,783.80/13,507.50 = 6,432.22/x
  3. Step 3: Cross multiply
    9,783.80x = 13,507.50 × 6,432.22
  4. Step 4: Simplify right side
    9,783.80x = 86,883,211.65
  5. Step 5: Solve for x
    x = 86,883,211.65/9,783.80
  6. Step 6: Final answer
    x = 8,880.31

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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.