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Finding the Fourth Proportional to 13,006.46, 17,948.88 and 7,038.12

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Solution

The fourth proportional to 13,006.46, 17,948.88 and 7,038.12 is: 9,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.46 : 17,948.88 = 7,038.12 : x
  2. Step 2: Convert to fraction form
    13,006.46/17,948.88 = 7,038.12/x
  3. Step 3: Cross multiply
    13,006.46x = 17,948.88 × 7,038.12
  4. Step 4: Simplify right side
    13,006.46x = 126,326,336.12
  5. Step 5: Solve for x
    x = 126,326,336.12/13,006.46
  6. Step 6: Final answer
    x = 9,712.59

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1.5x scale

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.