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Finding the Fourth Proportional to 9,248.50, 12,762.93 and 5,942.26

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Solution

The fourth proportional to 9,248.50, 12,762.93 and 5,942.26 is: 8,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.50 : 12,762.93 = 5,942.26 : x
  2. Step 2: Convert to fraction form
    9,248.50/12,762.93 = 5,942.26/x
  3. Step 3: Cross multiply
    9,248.50x = 12,762.93 × 5,942.26
  4. Step 4: Simplify right side
    9,248.50x = 75,840,648.42
  5. Step 5: Solve for x
    x = 75,840,648.42/9,248.50
  6. Step 6: Final answer
    x = 8,200.32

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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.