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Finding the Fourth Proportional to 10,057, 15,057.40 and 7,584.06

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Solution

The fourth proportional to 10,057, 15,057.40 and 7,584.06 is: 11,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057 : 15,057.40 = 7,584.06 : x
  2. Step 2: Convert to fraction form
    10,057/15,057.40 = 7,584.06/x
  3. Step 3: Cross multiply
    10,057x = 15,057.40 × 7,584.06
  4. Step 4: Simplify right side
    10,057x = 114,196,225.04
  5. Step 5: Solve for x
    x = 114,196,225.04/10,057
  6. Step 6: Final answer
    x = 11,354.90

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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.