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Finding the Fourth Proportional to 9,812.68, 13,501.98 and 9,579.40

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Solution

The fourth proportional to 9,812.68, 13,501.98 and 9,579.40 is: 13,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.68 : 13,501.98 = 9,579.40 : x
  2. Step 2: Convert to fraction form
    9,812.68/13,501.98 = 9,579.40/x
  3. Step 3: Cross multiply
    9,812.68x = 13,501.98 × 9,579.40
  4. Step 4: Simplify right side
    9,812.68x = 129,340,867.21
  5. Step 5: Solve for x
    x = 129,340,867.21/9,812.68
  6. Step 6: Final answer
    x = 13,180.99

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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.