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Finding the Fourth Proportional to 7,860, 10,847.10 and 4,323.14

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Solution

The fourth proportional to 7,860, 10,847.10 and 4,323.14 is: 5,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 10,847.10 = 4,323.14 : x
  2. Step 2: Convert to fraction form
    7,860/10,847.10 = 4,323.14/x
  3. Step 3: Cross multiply
    7,860x = 10,847.10 × 4,323.14
  4. Step 4: Simplify right side
    7,860x = 46,893,477.66
  5. Step 5: Solve for x
    x = 46,893,477.66/7,860
  6. Step 6: Final answer
    x = 5,966.09

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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.