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Finding the Fourth Proportional to 10,001.76, 15,004.64 and 3,076

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Solution

The fourth proportional to 10,001.76, 15,004.64 and 3,076 is: 4,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.76 : 15,004.64 = 3,076 : x
  2. Step 2: Convert to fraction form
    10,001.76/15,004.64 = 3,076/x
  3. Step 3: Cross multiply
    10,001.76x = 15,004.64 × 3,076
  4. Step 4: Simplify right side
    10,001.76x = 46,154,272.64
  5. Step 5: Solve for x
    x = 46,154,272.64/10,001.76
  6. Step 6: Final answer
    x = 4,614.62

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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.