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Finding the Fourth Proportional to 9,780.68, 13,498.74 and 7,418.84

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Solution

The fourth proportional to 9,780.68, 13,498.74 and 7,418.84 is: 10,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.68 : 13,498.74 = 7,418.84 : x
  2. Step 2: Convert to fraction form
    9,780.68/13,498.74 = 7,418.84/x
  3. Step 3: Cross multiply
    9,780.68x = 13,498.74 × 7,418.84
  4. Step 4: Simplify right side
    9,780.68x = 100,144,992.26
  5. Step 5: Solve for x
    x = 100,144,992.26/9,780.68
  6. Step 6: Final answer
    x = 10,239.06

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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.