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Finding the Fourth Proportional to 9,878.94, 13,646.25 and 7,903.62

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Solution

The fourth proportional to 9,878.94, 13,646.25 and 7,903.62 is: 10,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.94 : 13,646.25 = 7,903.62 : x
  2. Step 2: Convert to fraction form
    9,878.94/13,646.25 = 7,903.62/x
  3. Step 3: Cross multiply
    9,878.94x = 13,646.25 × 7,903.62
  4. Step 4: Simplify right side
    9,878.94x = 107,854,774.43
  5. Step 5: Solve for x
    x = 107,854,774.43/9,878.94
  6. Step 6: Final answer
    x = 10,917.65

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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.