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Finding the Fourth Proportional to 9,689.60, 13,378.04 and 7,447.40

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Solution

The fourth proportional to 9,689.60, 13,378.04 and 7,447.40 is: 10,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.60 : 13,378.04 = 7,447.40 : x
  2. Step 2: Convert to fraction form
    9,689.60/13,378.04 = 7,447.40/x
  3. Step 3: Cross multiply
    9,689.60x = 13,378.04 × 7,447.40
  4. Step 4: Simplify right side
    9,689.60x = 99,631,615.10
  5. Step 5: Solve for x
    x = 99,631,615.10/9,689.60
  6. Step 6: Final answer
    x = 10,282.32

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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.