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Finding the Fourth Proportional to 7,782.23, 10,685.15 and 7,579.26

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Solution

The fourth proportional to 7,782.23, 10,685.15 and 7,579.26 is: 10,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.23 : 10,685.15 = 7,579.26 : x
  2. Step 2: Convert to fraction form
    7,782.23/10,685.15 = 7,579.26/x
  3. Step 3: Cross multiply
    7,782.23x = 10,685.15 × 7,579.26
  4. Step 4: Simplify right side
    7,782.23x = 80,985,492.09
  5. Step 5: Solve for x
    x = 80,985,492.09/7,782.23
  6. Step 6: Final answer
    x = 10,406.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.