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Finding the Fourth Proportional to 9,603.78, 13,253.34 and 5,877.78

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Solution

The fourth proportional to 9,603.78, 13,253.34 and 5,877.78 is: 8,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.78 : 13,253.34 = 5,877.78 : x
  2. Step 2: Convert to fraction form
    9,603.78/13,253.34 = 5,877.78/x
  3. Step 3: Cross multiply
    9,603.78x = 13,253.34 × 5,877.78
  4. Step 4: Simplify right side
    9,603.78x = 77,900,216.79
  5. Step 5: Solve for x
    x = 77,900,216.79/9,603.78
  6. Step 6: Final answer
    x = 8,111.41

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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.