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Finding the Fourth Proportional to 9,465, 13,061.78 and 5,274.12

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Solution

The fourth proportional to 9,465, 13,061.78 and 5,274.12 is: 7,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465 : 13,061.78 = 5,274.12 : x
  2. Step 2: Convert to fraction form
    9,465/13,061.78 = 5,274.12/x
  3. Step 3: Cross multiply
    9,465x = 13,061.78 × 5,274.12
  4. Step 4: Simplify right side
    9,465x = 68,889,395.13
  5. Step 5: Solve for x
    x = 68,889,395.13/9,465
  6. Step 6: Final answer
    x = 7,278.33

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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.