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Finding the Fourth Proportional to 9,670, 13,346.49 and 5,478.25

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Solution

The fourth proportional to 9,670, 13,346.49 and 5,478.25 is: 7,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670 : 13,346.49 = 5,478.25 : x
  2. Step 2: Convert to fraction form
    9,670/13,346.49 = 5,478.25/x
  3. Step 3: Cross multiply
    9,670x = 13,346.49 × 5,478.25
  4. Step 4: Simplify right side
    9,670x = 73,115,408.84
  5. Step 5: Solve for x
    x = 73,115,408.84/9,670
  6. Step 6: Final answer
    x = 7,561.06

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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.