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Finding the Fourth Proportional to 15,404.61, 21,258.49 and 8,506

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Solution

The fourth proportional to 15,404.61, 21,258.49 and 8,506 is: 11,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404.61 : 21,258.49 = 8,506 : x
  2. Step 2: Convert to fraction form
    15,404.61/21,258.49 = 8,506/x
  3. Step 3: Cross multiply
    15,404.61x = 21,258.49 × 8,506
  4. Step 4: Simplify right side
    15,404.61x = 180,824,715.94
  5. Step 5: Solve for x
    x = 180,824,715.94/15,404.61
  6. Step 6: Final answer
    x = 11,738.35

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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.