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Finding the Fourth Proportional to 9,420.10, 13,001.19 and 5,440.90

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Solution

The fourth proportional to 9,420.10, 13,001.19 and 5,440.90 is: 7,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.10 : 13,001.19 = 5,440.90 : x
  2. Step 2: Convert to fraction form
    9,420.10/13,001.19 = 5,440.90/x
  3. Step 3: Cross multiply
    9,420.10x = 13,001.19 × 5,440.90
  4. Step 4: Simplify right side
    9,420.10x = 70,738,174.67
  5. Step 5: Solve for x
    x = 70,738,174.67/9,420.10
  6. Step 6: Final answer
    x = 7,509.28

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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.