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Finding the Fourth Proportional to 14,305.76, 21,461.88 and 5,071.76

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Solution

The fourth proportional to 14,305.76, 21,461.88 and 5,071.76 is: 7,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.76 : 21,461.88 = 5,071.76 : x
  2. Step 2: Convert to fraction form
    14,305.76/21,461.88 = 5,071.76/x
  3. Step 3: Cross multiply
    14,305.76x = 21,461.88 × 5,071.76
  4. Step 4: Simplify right side
    14,305.76x = 108,849,504.51
  5. Step 5: Solve for x
    x = 108,849,504.51/14,305.76
  6. Step 6: Final answer
    x = 7,608.79

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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.