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Finding the Fourth Proportional to 9,142.77, 13,718.48 and 8,995.35

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Solution

The fourth proportional to 9,142.77, 13,718.48 and 8,995.35 is: 13,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.77 : 13,718.48 = 8,995.35 : x
  2. Step 2: Convert to fraction form
    9,142.77/13,718.48 = 8,995.35/x
  3. Step 3: Cross multiply
    9,142.77x = 13,718.48 × 8,995.35
  4. Step 4: Simplify right side
    9,142.77x = 123,402,484.09
  5. Step 5: Solve for x
    x = 123,402,484.09/9,142.77
  6. Step 6: Final answer
    x = 13,497.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.