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Finding the Fourth Proportional to 15,584.95, 21,506.40 and 8,509.99

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Solution

The fourth proportional to 15,584.95, 21,506.40 and 8,509.99 is: 11,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.95 : 21,506.40 = 8,509.99 : x
  2. Step 2: Convert to fraction form
    15,584.95/21,506.40 = 8,509.99/x
  3. Step 3: Cross multiply
    15,584.95x = 21,506.40 × 8,509.99
  4. Step 4: Simplify right side
    15,584.95x = 183,019,248.94
  5. Step 5: Solve for x
    x = 183,019,248.94/15,584.95
  6. Step 6: Final answer
    x = 11,743.33

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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.