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Finding the Fourth Proportional to 9,007, 12,429.42 and 5,028

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Solution

The fourth proportional to 9,007, 12,429.42 and 5,028 is: 6,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007 : 12,429.42 = 5,028 : x
  2. Step 2: Convert to fraction form
    9,007/12,429.42 = 5,028/x
  3. Step 3: Cross multiply
    9,007x = 12,429.42 × 5,028
  4. Step 4: Simplify right side
    9,007x = 62,495,123.76
  5. Step 5: Solve for x
    x = 62,495,123.76/9,007
  6. Step 6: Final answer
    x = 6,938.51

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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.