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Finding the Fourth Proportional to 13,006.62, 17,948.99 and 7,038.15

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Solution

The fourth proportional to 13,006.62, 17,948.99 and 7,038.15 is: 9,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.62 : 17,948.99 = 7,038.15 : x
  2. Step 2: Convert to fraction form
    13,006.62/17,948.99 = 7,038.15/x
  3. Step 3: Cross multiply
    13,006.62x = 17,948.99 × 7,038.15
  4. Step 4: Simplify right side
    13,006.62x = 126,327,648.78
  5. Step 5: Solve for x
    x = 126,327,648.78/13,006.62
  6. Step 6: Final answer
    x = 9,712.57

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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.