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Finding the Fourth Proportional to 9,655.66, 13,322.50 and 5,878.77

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Solution

The fourth proportional to 9,655.66, 13,322.50 and 5,878.77 is: 8,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.66 : 13,322.50 = 5,878.77 : x
  2. Step 2: Convert to fraction form
    9,655.66/13,322.50 = 5,878.77/x
  3. Step 3: Cross multiply
    9,655.66x = 13,322.50 × 5,878.77
  4. Step 4: Simplify right side
    9,655.66x = 78,319,913.33
  5. Step 5: Solve for x
    x = 78,319,913.33/9,655.66
  6. Step 6: Final answer
    x = 8,111.30

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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.