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Finding the Fourth Proportional to 5,257.62, 7,888.86 and 1,970.28

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Solution

The fourth proportional to 5,257.62, 7,888.86 and 1,970.28 is: 2,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.62 : 7,888.86 = 1,970.28 : x
  2. Step 2: Convert to fraction form
    5,257.62/7,888.86 = 1,970.28/x
  3. Step 3: Cross multiply
    5,257.62x = 7,888.86 × 1,970.28
  4. Step 4: Simplify right side
    5,257.62x = 15,543,263.08
  5. Step 5: Solve for x
    x = 15,543,263.08/5,257.62
  6. Step 6: Final answer
    x = 2,956.33

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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.