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Finding the Fourth Proportional to 9,992.58, 13,783.80 and 6,457.80

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Solution

The fourth proportional to 9,992.58, 13,783.80 and 6,457.80 is: 8,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.58 : 13,783.80 = 6,457.80 : x
  2. Step 2: Convert to fraction form
    9,992.58/13,783.80 = 6,457.80/x
  3. Step 3: Cross multiply
    9,992.58x = 13,783.80 × 6,457.80
  4. Step 4: Simplify right side
    9,992.58x = 89,013,023.64
  5. Step 5: Solve for x
    x = 89,013,023.64/9,992.58
  6. Step 6: Final answer
    x = 8,907.91

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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.