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Finding the Fourth Proportional to 15,586.69, 21,509.49 and 8,513.14

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Solution

The fourth proportional to 15,586.69, 21,509.49 and 8,513.14 is: 11,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.69 : 21,509.49 = 8,513.14 : x
  2. Step 2: Convert to fraction form
    15,586.69/21,509.49 = 8,513.14/x
  3. Step 3: Cross multiply
    15,586.69x = 21,509.49 × 8,513.14
  4. Step 4: Simplify right side
    15,586.69x = 183,113,299.70
  5. Step 5: Solve for x
    x = 183,113,299.70/15,586.69
  6. Step 6: Final answer
    x = 11,748.06

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Double scale
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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.