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Finding the Fourth Proportional to 7,730, 11,600.40 and 3,113.04

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Solution

The fourth proportional to 7,730, 11,600.40 and 3,113.04 is: 4,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730 : 11,600.40 = 3,113.04 : x
  2. Step 2: Convert to fraction form
    7,730/11,600.40 = 3,113.04/x
  3. Step 3: Cross multiply
    7,730x = 11,600.40 × 3,113.04
  4. Step 4: Simplify right side
    7,730x = 36,112,509.22
  5. Step 5: Solve for x
    x = 36,112,509.22/7,730
  6. Step 6: Final answer
    x = 4,671.73

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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.