Home / 7,830.42-11,746.79-2,283.05

Finding the Fourth Proportional to 7,830.42, 11,746.79 and 2,283.05

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Solution

The fourth proportional to 7,830.42, 11,746.79 and 2,283.05 is: 3,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.42 : 11,746.79 = 2,283.05 : x
  2. Step 2: Convert to fraction form
    7,830.42/11,746.79 = 2,283.05/x
  3. Step 3: Cross multiply
    7,830.42x = 11,746.79 × 2,283.05
  4. Step 4: Simplify right side
    7,830.42x = 26,818,438.76
  5. Step 5: Solve for x
    x = 26,818,438.76/7,830.42
  6. Step 6: Final answer
    x = 3,424.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.