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Finding the Fourth Proportional to 9,398.97, 12,970.53 and 5,419.44

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Solution

The fourth proportional to 9,398.97, 12,970.53 and 5,419.44 is: 7,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.97 : 12,970.53 = 5,419.44 : x
  2. Step 2: Convert to fraction form
    9,398.97/12,970.53 = 5,419.44/x
  3. Step 3: Cross multiply
    9,398.97x = 12,970.53 × 5,419.44
  4. Step 4: Simplify right side
    9,398.97x = 70,293,009.10
  5. Step 5: Solve for x
    x = 70,293,009.10/9,398.97
  6. Step 6: Final answer
    x = 7,478.80

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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.