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Finding the Fourth Proportional to 15,584.68, 21,507.15 and 8,511.40

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Solution

The fourth proportional to 15,584.68, 21,507.15 and 8,511.40 is: 11,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.68 : 21,507.15 = 8,511.40 : x
  2. Step 2: Convert to fraction form
    15,584.68/21,507.15 = 8,511.40/x
  3. Step 3: Cross multiply
    15,584.68x = 21,507.15 × 8,511.40
  4. Step 4: Simplify right side
    15,584.68x = 183,055,956.51
  5. Step 5: Solve for x
    x = 183,055,956.51/15,584.68
  6. Step 6: Final answer
    x = 11,745.89

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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.