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Finding the Fourth Proportional to 9,778.51, 14,659.87 and 3,929.50

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Solution

The fourth proportional to 9,778.51, 14,659.87 and 3,929.50 is: 5,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.51 : 14,659.87 = 3,929.50 : x
  2. Step 2: Convert to fraction form
    9,778.51/14,659.87 = 3,929.50/x
  3. Step 3: Cross multiply
    9,778.51x = 14,659.87 × 3,929.50
  4. Step 4: Simplify right side
    9,778.51x = 57,605,959.17
  5. Step 5: Solve for x
    x = 57,605,959.17/9,778.51
  6. Step 6: Final answer
    x = 5,891.08

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1.5x scale

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.