Home / 1,680.31-2,319.43-972.47

Finding the Fourth Proportional to 1,680.31, 2,319.43 and 972.47

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Solution

The fourth proportional to 1,680.31, 2,319.43 and 972.47 is: 1,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.31 : 2,319.43 = 972.47 : x
  2. Step 2: Convert to fraction form
    1,680.31/2,319.43 = 972.47/x
  3. Step 3: Cross multiply
    1,680.31x = 2,319.43 × 972.47
  4. Step 4: Simplify right side
    1,680.31x = 2,255,584.63
  5. Step 5: Solve for x
    x = 2,255,584.63/1,680.31
  6. Step 6: Final answer
    x = 1,342.36

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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.