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Finding the Fourth Proportional to 9,368.40, 12,902.22 and 7,782.02

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Solution

The fourth proportional to 9,368.40, 12,902.22 and 7,782.02 is: 10,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.40 : 12,902.22 = 7,782.02 : x
  2. Step 2: Convert to fraction form
    9,368.40/12,902.22 = 7,782.02/x
  3. Step 3: Cross multiply
    9,368.40x = 12,902.22 × 7,782.02
  4. Step 4: Simplify right side
    9,368.40x = 100,405,334.08
  5. Step 5: Solve for x
    x = 100,405,334.08/9,368.40
  6. Step 6: Final answer
    x = 10,717.45

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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.