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Finding the Fourth Proportional to 10,413, 14,352.44 and 7,894.31

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Solution

The fourth proportional to 10,413, 14,352.44 and 7,894.31 is: 10,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413 : 14,352.44 = 7,894.31 : x
  2. Step 2: Convert to fraction form
    10,413/14,352.44 = 7,894.31/x
  3. Step 3: Cross multiply
    10,413x = 14,352.44 × 7,894.31
  4. Step 4: Simplify right side
    10,413x = 113,302,499.38
  5. Step 5: Solve for x
    x = 113,302,499.38/10,413
  6. Step 6: Final answer
    x = 10,880.87

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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.