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Finding the Fourth Proportional to 9,685.60, 13,372.52 and 7,443.40

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Solution

The fourth proportional to 9,685.60, 13,372.52 and 7,443.40 is: 10,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.60 : 13,372.52 = 7,443.40 : x
  2. Step 2: Convert to fraction form
    9,685.60/13,372.52 = 7,443.40/x
  3. Step 3: Cross multiply
    9,685.60x = 13,372.52 × 7,443.40
  4. Step 4: Simplify right side
    9,685.60x = 99,537,015.37
  5. Step 5: Solve for x
    x = 99,537,015.37/9,685.60
  6. Step 6: Final answer
    x = 10,276.80

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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.