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Finding the Fourth Proportional to 7,870.52, 11,800.31 and 3,485.58

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Solution

The fourth proportional to 7,870.52, 11,800.31 and 3,485.58 is: 5,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.52 : 11,800.31 = 3,485.58 : x
  2. Step 2: Convert to fraction form
    7,870.52/11,800.31 = 3,485.58/x
  3. Step 3: Cross multiply
    7,870.52x = 11,800.31 × 3,485.58
  4. Step 4: Simplify right side
    7,870.52x = 41,130,907.10
  5. Step 5: Solve for x
    x = 41,130,907.10/7,870.52
  6. Step 6: Final answer
    x = 5,225.95

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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.