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Finding the Fourth Proportional to 7,777.89, 10,730.42 and 4,788.53

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Solution

The fourth proportional to 7,777.89, 10,730.42 and 4,788.53 is: 6,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.89 : 10,730.42 = 4,788.53 : x
  2. Step 2: Convert to fraction form
    7,777.89/10,730.42 = 4,788.53/x
  3. Step 3: Cross multiply
    7,777.89x = 10,730.42 × 4,788.53
  4. Step 4: Simplify right side
    7,777.89x = 51,382,938.08
  5. Step 5: Solve for x
    x = 51,382,938.08/7,777.89
  6. Step 6: Final answer
    x = 6,606.28

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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.