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Finding the Fourth Proportional to 9,402.88, 12,970.96 and 7,631.36

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Solution

The fourth proportional to 9,402.88, 12,970.96 and 7,631.36 is: 10,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.88 : 12,970.96 = 7,631.36 : x
  2. Step 2: Convert to fraction form
    9,402.88/12,970.96 = 7,631.36/x
  3. Step 3: Cross multiply
    9,402.88x = 12,970.96 × 7,631.36
  4. Step 4: Simplify right side
    9,402.88x = 98,986,065.31
  5. Step 5: Solve for x
    x = 98,986,065.31/9,402.88
  6. Step 6: Final answer
    x = 10,527.21

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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.