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Finding the Fourth Proportional to 7,860.42, 11,803.19 and 4,575.87

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Solution

The fourth proportional to 7,860.42, 11,803.19 and 4,575.87 is: 6,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.42 : 11,803.19 = 4,575.87 : x
  2. Step 2: Convert to fraction form
    7,860.42/11,803.19 = 4,575.87/x
  3. Step 3: Cross multiply
    7,860.42x = 11,803.19 × 4,575.87
  4. Step 4: Simplify right side
    7,860.42x = 54,009,840.15
  5. Step 5: Solve for x
    x = 54,009,840.15/7,860.42
  6. Step 6: Final answer
    x = 6,871.11

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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.