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Finding the Fourth Proportional to 9,905, 13,669.51 and 5,713.25

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Solution

The fourth proportional to 9,905, 13,669.51 and 5,713.25 is: 7,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 13,669.51 = 5,713.25 : x
  2. Step 2: Convert to fraction form
    9,905/13,669.51 = 5,713.25/x
  3. Step 3: Cross multiply
    9,905x = 13,669.51 × 5,713.25
  4. Step 4: Simplify right side
    9,905x = 78,097,328.01
  5. Step 5: Solve for x
    x = 78,097,328.01/9,905
  6. Step 6: Final answer
    x = 7,884.64

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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.