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Finding the Fourth Proportional to 12,671.47, 17,486.35 and 7,006

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Solution

The fourth proportional to 12,671.47, 17,486.35 and 7,006 is: 9,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.47 : 17,486.35 = 7,006 : x
  2. Step 2: Convert to fraction form
    12,671.47/17,486.35 = 7,006/x
  3. Step 3: Cross multiply
    12,671.47x = 17,486.35 × 7,006
  4. Step 4: Simplify right side
    12,671.47x = 122,509,368.10
  5. Step 5: Solve for x
    x = 122,509,368.10/12,671.47
  6. Step 6: Final answer
    x = 9,668.13

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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.