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Finding the Fourth Proportional to 9,399.36, 12,971.04 and 5,420.40

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Solution

The fourth proportional to 9,399.36, 12,971.04 and 5,420.40 is: 7,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.36 : 12,971.04 = 5,420.40 : x
  2. Step 2: Convert to fraction form
    9,399.36/12,971.04 = 5,420.40/x
  3. Step 3: Cross multiply
    9,399.36x = 12,971.04 × 5,420.40
  4. Step 4: Simplify right side
    9,399.36x = 70,308,225.22
  5. Step 5: Solve for x
    x = 70,308,225.22/9,399.36
  6. Step 6: Final answer
    x = 7,480.11

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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.