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Finding the Fourth Proportional to 9,895, 13,655.47 and 5,646.75

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Solution

The fourth proportional to 9,895, 13,655.47 and 5,646.75 is: 7,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895 : 13,655.47 = 5,646.75 : x
  2. Step 2: Convert to fraction form
    9,895/13,655.47 = 5,646.75/x
  3. Step 3: Cross multiply
    9,895x = 13,655.47 × 5,646.75
  4. Step 4: Simplify right side
    9,895x = 77,109,025.22
  5. Step 5: Solve for x
    x = 77,109,025.22/9,895
  6. Step 6: Final answer
    x = 7,792.73

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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.