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Finding the Fourth Proportional to 10,449, 15,662.58 and 4,897.86

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Solution

The fourth proportional to 10,449, 15,662.58 and 4,897.86 is: 7,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 15,662.58 = 4,897.86 : x
  2. Step 2: Convert to fraction form
    10,449/15,662.58 = 4,897.86/x
  3. Step 3: Cross multiply
    10,449x = 15,662.58 × 4,897.86
  4. Step 4: Simplify right side
    10,449x = 76,713,124.08
  5. Step 5: Solve for x
    x = 76,713,124.08/10,449
  6. Step 6: Final answer
    x = 7,341.67

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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.