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Finding the Fourth Proportional to 11,307, 15,603.77 and 6,271.29

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Solution

The fourth proportional to 11,307, 15,603.77 and 6,271.29 is: 8,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 15,603.77 = 6,271.29 : x
  2. Step 2: Convert to fraction form
    11,307/15,603.77 = 6,271.29/x
  3. Step 3: Cross multiply
    11,307x = 15,603.77 × 6,271.29
  4. Step 4: Simplify right side
    11,307x = 97,855,766.76
  5. Step 5: Solve for x
    x = 97,855,766.76/11,307
  6. Step 6: Final answer
    x = 8,654.44

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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.