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Finding the Fourth Proportional to 7,842.90, 10,823.38 and 4,486.02

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Solution

The fourth proportional to 7,842.90, 10,823.38 and 4,486.02 is: 6,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.90 : 10,823.38 = 4,486.02 : x
  2. Step 2: Convert to fraction form
    7,842.90/10,823.38 = 4,486.02/x
  3. Step 3: Cross multiply
    7,842.90x = 10,823.38 × 4,486.02
  4. Step 4: Simplify right side
    7,842.90x = 48,553,899.15
  5. Step 5: Solve for x
    x = 48,553,899.15/7,842.90
  6. Step 6: Final answer
    x = 6,190.81

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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.