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Finding the Fourth Proportional to 15,862.89, 21,880.87 and 10,205

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Solution

The fourth proportional to 15,862.89, 21,880.87 and 10,205 is: 14,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.89 : 21,880.87 = 10,205 : x
  2. Step 2: Convert to fraction form
    15,862.89/21,880.87 = 10,205/x
  3. Step 3: Cross multiply
    15,862.89x = 21,880.87 × 10,205
  4. Step 4: Simplify right side
    15,862.89x = 223,294,278.35
  5. Step 5: Solve for x
    x = 223,294,278.35/15,862.89
  6. Step 6: Final answer
    x = 14,076.52

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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.