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Finding the Fourth Proportional to 10,356, 15,533.76 and 2,564.88

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Solution

The fourth proportional to 10,356, 15,533.76 and 2,564.88 is: 3,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 15,533.76 = 2,564.88 : x
  2. Step 2: Convert to fraction form
    10,356/15,533.76 = 2,564.88/x
  3. Step 3: Cross multiply
    10,356x = 15,533.76 × 2,564.88
  4. Step 4: Simplify right side
    10,356x = 39,842,230.35
  5. Step 5: Solve for x
    x = 39,842,230.35/10,356
  6. Step 6: Final answer
    x = 3,847.26

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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.