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Finding the Fourth Proportional to 7,818.47, 11,727.79 and 1,975.08

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Solution

The fourth proportional to 7,818.47, 11,727.79 and 1,975.08 is: 2,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.47 : 11,727.79 = 1,975.08 : x
  2. Step 2: Convert to fraction form
    7,818.47/11,727.79 = 1,975.08/x
  3. Step 3: Cross multiply
    7,818.47x = 11,727.79 × 1,975.08
  4. Step 4: Simplify right side
    7,818.47x = 23,163,362.51
  5. Step 5: Solve for x
    x = 23,163,362.51/7,818.47
  6. Step 6: Final answer
    x = 2,962.64

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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.