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Finding the Fourth Proportional to 10,413, 15,621.66 and 4,257

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Solution

The fourth proportional to 10,413, 15,621.66 and 4,257 is: 6,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413 : 15,621.66 = 4,257 : x
  2. Step 2: Convert to fraction form
    10,413/15,621.66 = 4,257/x
  3. Step 3: Cross multiply
    10,413x = 15,621.66 × 4,257
  4. Step 4: Simplify right side
    10,413x = 66,501,406.62
  5. Step 5: Solve for x
    x = 66,501,406.62/10,413
  6. Step 6: Final answer
    x = 6,386.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.