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Finding the Fourth Proportional to 11,307.16, 15,603.78 and 6,339.16

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Solution

The fourth proportional to 11,307.16, 15,603.78 and 6,339.16 is: 8,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.16 : 15,603.78 = 6,339.16 : x
  2. Step 2: Convert to fraction form
    11,307.16/15,603.78 = 6,339.16/x
  3. Step 3: Cross multiply
    11,307.16x = 15,603.78 × 6,339.16
  4. Step 4: Simplify right side
    11,307.16x = 98,914,858.02
  5. Step 5: Solve for x
    x = 98,914,858.02/11,307.16
  6. Step 6: Final answer
    x = 8,747.98

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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.