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Finding the Fourth Proportional to 9,682.60, 13,368.38 and 7,440.40

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Solution

The fourth proportional to 9,682.60, 13,368.38 and 7,440.40 is: 10,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.60 : 13,368.38 = 7,440.40 : x
  2. Step 2: Convert to fraction form
    9,682.60/13,368.38 = 7,440.40/x
  3. Step 3: Cross multiply
    9,682.60x = 13,368.38 × 7,440.40
  4. Step 4: Simplify right side
    9,682.60x = 99,466,094.55
  5. Step 5: Solve for x
    x = 99,466,094.55/9,682.60
  6. Step 6: Final answer
    x = 10,272.66

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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.