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Finding the Fourth Proportional to 10,329, 15,549.70 and 9,410.46

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Solution

The fourth proportional to 10,329, 15,549.70 and 9,410.46 is: 14,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329 : 15,549.70 = 9,410.46 : x
  2. Step 2: Convert to fraction form
    10,329/15,549.70 = 9,410.46/x
  3. Step 3: Cross multiply
    10,329x = 15,549.70 × 9,410.46
  4. Step 4: Simplify right side
    10,329x = 146,329,829.86
  5. Step 5: Solve for x
    x = 146,329,829.86/10,329
  6. Step 6: Final answer
    x = 14,166.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.