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Finding the Fourth Proportional to 51,030, 70,421.76 and 28,674

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Solution

The fourth proportional to 51,030, 70,421.76 and 28,674 is: 39,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 70,421.76 = 28,674 : x
  2. Step 2: Convert to fraction form
    51,030/70,421.76 = 28,674/x
  3. Step 3: Cross multiply
    51,030x = 70,421.76 × 28,674
  4. Step 4: Simplify right side
    51,030x = 2,019,273,546.24
  5. Step 5: Solve for x
    x = 2,019,273,546.24/51,030
  6. Step 6: Final answer
    x = 39,570.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.