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Finding the Fourth Proportional to 10,968, 15,137.55 and 6,990.39

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Solution

The fourth proportional to 10,968, 15,137.55 and 6,990.39 is: 9,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 15,137.55 = 6,990.39 : x
  2. Step 2: Convert to fraction form
    10,968/15,137.55 = 6,990.39/x
  3. Step 3: Cross multiply
    10,968x = 15,137.55 × 6,990.39
  4. Step 4: Simplify right side
    10,968x = 105,817,378.14
  5. Step 5: Solve for x
    x = 105,817,378.14/10,968
  6. Step 6: Final answer
    x = 9,647.83

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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.