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Finding the Fourth Proportional to 1,970.24, 2,702.63 and 1,929.23

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Solution

The fourth proportional to 1,970.24, 2,702.63 and 1,929.23 is: 2,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.24 : 2,702.63 = 1,929.23 : x
  2. Step 2: Convert to fraction form
    1,970.24/2,702.63 = 1,929.23/x
  3. Step 3: Cross multiply
    1,970.24x = 2,702.63 × 1,929.23
  4. Step 4: Simplify right side
    1,970.24x = 5,213,971.72
  5. Step 5: Solve for x
    x = 5,213,971.72/1,970.24
  6. Step 6: Final answer
    x = 2,646.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.