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Finding the Fourth Proportional to 10,490, 15,735 and 3,564.56

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Solution

The fourth proportional to 10,490, 15,735 and 3,564.56 is: 5,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490 : 15,735 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    10,490/15,735 = 3,564.56/x
  3. Step 3: Cross multiply
    10,490x = 15,735 × 3,564.56
  4. Step 4: Simplify right side
    10,490x = 56,088,351.60
  5. Step 5: Solve for x
    x = 56,088,351.60/10,490
  6. Step 6: Final answer
    x = 5,346.84

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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.