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Finding the Fourth Proportional to 14,000.40, 20,980.80 and 7,763.16

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Solution

The fourth proportional to 14,000.40, 20,980.80 and 7,763.16 is: 11,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.40 : 20,980.80 = 7,763.16 : x
  2. Step 2: Convert to fraction form
    14,000.40/20,980.80 = 7,763.16/x
  3. Step 3: Cross multiply
    14,000.40x = 20,980.80 × 7,763.16
  4. Step 4: Simplify right side
    14,000.40x = 162,877,307.33
  5. Step 5: Solve for x
    x = 162,877,307.33/14,000.40
  6. Step 6: Final answer
    x = 11,633.76

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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.