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Finding the Fourth Proportional to 1,970.32, 2,953.32 and 995.08

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Solution

The fourth proportional to 1,970.32, 2,953.32 and 995.08 is: 1,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.32 : 2,953.32 = 995.08 : x
  2. Step 2: Convert to fraction form
    1,970.32/2,953.32 = 995.08/x
  3. Step 3: Cross multiply
    1,970.32x = 2,953.32 × 995.08
  4. Step 4: Simplify right side
    1,970.32x = 2,938,789.67
  5. Step 5: Solve for x
    x = 2,938,789.67/1,970.32
  6. Step 6: Final answer
    x = 1,491.53

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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.