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Finding the Fourth Proportional to 9,205, 12,702.90 and 5,013.52

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Solution

The fourth proportional to 9,205, 12,702.90 and 5,013.52 is: 6,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205 : 12,702.90 = 5,013.52 : x
  2. Step 2: Convert to fraction form
    9,205/12,702.90 = 5,013.52/x
  3. Step 3: Cross multiply
    9,205x = 12,702.90 × 5,013.52
  4. Step 4: Simplify right side
    9,205x = 63,686,243.21
  5. Step 5: Solve for x
    x = 63,686,243.21/9,205
  6. Step 6: Final answer
    x = 6,918.66

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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.