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Finding the Fourth Proportional to 5,206.90, 7,185.45 and 2,848.90

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Solution

The fourth proportional to 5,206.90, 7,185.45 and 2,848.90 is: 3,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.90 : 7,185.45 = 2,848.90 : x
  2. Step 2: Convert to fraction form
    5,206.90/7,185.45 = 2,848.90/x
  3. Step 3: Cross multiply
    5,206.90x = 7,185.45 × 2,848.90
  4. Step 4: Simplify right side
    5,206.90x = 20,470,628.51
  5. Step 5: Solve for x
    x = 20,470,628.51/5,206.90
  6. Step 6: Final answer
    x = 3,931.44

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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.