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Finding the Fourth Proportional to 12,920.70, 17,830.76 and 7,256.67

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Solution

The fourth proportional to 12,920.70, 17,830.76 and 7,256.67 is: 10,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.70 : 17,830.76 = 7,256.67 : x
  2. Step 2: Convert to fraction form
    12,920.70/17,830.76 = 7,256.67/x
  3. Step 3: Cross multiply
    12,920.70x = 17,830.76 × 7,256.67
  4. Step 4: Simplify right side
    12,920.70x = 129,391,941.17
  5. Step 5: Solve for x
    x = 129,391,941.17/12,920.70
  6. Step 6: Final answer
    x = 10,014.31

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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.