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Finding the Fourth Proportional to 9,401.99, 12,970.13 and 7,909.35

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Solution

The fourth proportional to 9,401.99, 12,970.13 and 7,909.35 is: 10,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.99 : 12,970.13 = 7,909.35 : x
  2. Step 2: Convert to fraction form
    9,401.99/12,970.13 = 7,909.35/x
  3. Step 3: Cross multiply
    9,401.99x = 12,970.13 × 7,909.35
  4. Step 4: Simplify right side
    9,401.99x = 102,585,258.17
  5. Step 5: Solve for x
    x = 102,585,258.17/9,401.99
  6. Step 6: Final answer
    x = 10,911.02

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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.