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Finding the Fourth Proportional to 9,903.62, 13,667.40 and 5,655.38

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Solution

The fourth proportional to 9,903.62, 13,667.40 and 5,655.38 is: 7,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.62 : 13,667.40 = 5,655.38 : x
  2. Step 2: Convert to fraction form
    9,903.62/13,667.40 = 5,655.38/x
  3. Step 3: Cross multiply
    9,903.62x = 13,667.40 × 5,655.38
  4. Step 4: Simplify right side
    9,903.62x = 77,294,272.28
  5. Step 5: Solve for x
    x = 77,294,272.28/9,903.62
  6. Step 6: Final answer
    x = 7,804.65

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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.