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Finding the Fourth Proportional to 7,492.40, 11,237.94 and 6,905.15

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Solution

The fourth proportional to 7,492.40, 11,237.94 and 6,905.15 is: 10,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.40 : 11,237.94 = 6,905.15 : x
  2. Step 2: Convert to fraction form
    7,492.40/11,237.94 = 6,905.15/x
  3. Step 3: Cross multiply
    7,492.40x = 11,237.94 × 6,905.15
  4. Step 4: Simplify right side
    7,492.40x = 77,599,647.34
  5. Step 5: Solve for x
    x = 77,599,647.34/7,492.40
  6. Step 6: Final answer
    x = 10,357.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.