Home / 8,534.12-12,784.10-6,782.08

Finding the Fourth Proportional to 8,534.12, 12,784.10 and 6,782.08

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Solution

The fourth proportional to 8,534.12, 12,784.10 and 6,782.08 is: 10,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.12 : 12,784.10 = 6,782.08 : x
  2. Step 2: Convert to fraction form
    8,534.12/12,784.10 = 6,782.08/x
  3. Step 3: Cross multiply
    8,534.12x = 12,784.10 × 6,782.08
  4. Step 4: Simplify right side
    8,534.12x = 86,702,788.93
  5. Step 5: Solve for x
    x = 86,702,788.93/8,534.12
  6. Step 6: Final answer
    x = 10,159.55

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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.