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Finding the Fourth Proportional to 13,006.53, 17,949 and 7,038.18

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Solution

The fourth proportional to 13,006.53, 17,949 and 7,038.18 is: 9,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.53 : 17,949 = 7,038.18 : x
  2. Step 2: Convert to fraction form
    13,006.53/17,949 = 7,038.18/x
  3. Step 3: Cross multiply
    13,006.53x = 17,949 × 7,038.18
  4. Step 4: Simplify right side
    13,006.53x = 126,328,292.82
  5. Step 5: Solve for x
    x = 126,328,292.82/13,006.53
  6. Step 6: Final answer
    x = 9,712.68

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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.