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Finding the Fourth Proportional to 9,278.55, 13,929.71 and 7,970.67

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Solution

The fourth proportional to 9,278.55, 13,929.71 and 7,970.67 is: 11,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.55 : 13,929.71 = 7,970.67 : x
  2. Step 2: Convert to fraction form
    9,278.55/13,929.71 = 7,970.67/x
  3. Step 3: Cross multiply
    9,278.55x = 13,929.71 × 7,970.67
  4. Step 4: Simplify right side
    9,278.55x = 111,029,081.75
  5. Step 5: Solve for x
    x = 111,029,081.75/9,278.55
  6. Step 6: Final answer
    x = 11,966.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.