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Finding the Fourth Proportional to 15,420.43, 21,280.35 and 8,347

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Solution

The fourth proportional to 15,420.43, 21,280.35 and 8,347 is: 11,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.43 : 21,280.35 = 8,347 : x
  2. Step 2: Convert to fraction form
    15,420.43/21,280.35 = 8,347/x
  3. Step 3: Cross multiply
    15,420.43x = 21,280.35 × 8,347
  4. Step 4: Simplify right side
    15,420.43x = 177,627,081.45
  5. Step 5: Solve for x
    x = 177,627,081.45/15,420.43
  6. Step 6: Final answer
    x = 11,518.94

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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.