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Finding the Fourth Proportional to 9,491.88, 13,099 and 5,300.12

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Solution

The fourth proportional to 9,491.88, 13,099 and 5,300.12 is: 7,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.88 : 13,099 = 5,300.12 : x
  2. Step 2: Convert to fraction form
    9,491.88/13,099 = 5,300.12/x
  3. Step 3: Cross multiply
    9,491.88x = 13,099 × 5,300.12
  4. Step 4: Simplify right side
    9,491.88x = 69,426,271.88
  5. Step 5: Solve for x
    x = 69,426,271.88/9,491.88
  6. Step 6: Final answer
    x = 7,314.28

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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.