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Finding the Fourth Proportional to 7,835.04, 11,752.58 and 1,991.64

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Solution

The fourth proportional to 7,835.04, 11,752.58 and 1,991.64 is: 2,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.04 : 11,752.58 = 1,991.64 : x
  2. Step 2: Convert to fraction form
    7,835.04/11,752.58 = 1,991.64/x
  3. Step 3: Cross multiply
    7,835.04x = 11,752.58 × 1,991.64
  4. Step 4: Simplify right side
    7,835.04x = 23,406,908.43
  5. Step 5: Solve for x
    x = 23,406,908.43/7,835.04
  6. Step 6: Final answer
    x = 2,987.47

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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.