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Finding the Fourth Proportional to 8,242.65, 11,378.79 and 4,705.18

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Solution

The fourth proportional to 8,242.65, 11,378.79 and 4,705.18 is: 6,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.65 : 11,378.79 = 4,705.18 : x
  2. Step 2: Convert to fraction form
    8,242.65/11,378.79 = 4,705.18/x
  3. Step 3: Cross multiply
    8,242.65x = 11,378.79 × 4,705.18
  4. Step 4: Simplify right side
    8,242.65x = 53,539,255.13
  5. Step 5: Solve for x
    x = 53,539,255.13/8,242.65
  6. Step 6: Final answer
    x = 6,495.39

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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.