Home / 1,988.08-2,980.68-947.44

Finding the Fourth Proportional to 1,988.08, 2,980.68 and 947.44

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Solution

The fourth proportional to 1,988.08, 2,980.68 and 947.44 is: 1,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.08 : 2,980.68 = 947.44 : x
  2. Step 2: Convert to fraction form
    1,988.08/2,980.68 = 947.44/x
  3. Step 3: Cross multiply
    1,988.08x = 2,980.68 × 947.44
  4. Step 4: Simplify right side
    1,988.08x = 2,824,015.46
  5. Step 5: Solve for x
    x = 2,824,015.46/1,988.08
  6. Step 6: Final answer
    x = 1,420.47

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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.