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Finding the Fourth Proportional to 30,300, 45,459.24 and 10,580.23

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Solution

The fourth proportional to 30,300, 45,459.24 and 10,580.23 is: 15,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300 : 45,459.24 = 10,580.23 : x
  2. Step 2: Convert to fraction form
    30,300/45,459.24 = 10,580.23/x
  3. Step 3: Cross multiply
    30,300x = 45,459.24 × 10,580.23
  4. Step 4: Simplify right side
    30,300x = 480,969,214.83
  5. Step 5: Solve for x
    x = 480,969,214.83/30,300
  6. Step 6: Final answer
    x = 15,873.57

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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.