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Finding the Fourth Proportional to 9,986.64, 13,781.02 and 5,509.51

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Solution

The fourth proportional to 9,986.64, 13,781.02 and 5,509.51 is: 7,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.64 : 13,781.02 = 5,509.51 : x
  2. Step 2: Convert to fraction form
    9,986.64/13,781.02 = 5,509.51/x
  3. Step 3: Cross multiply
    9,986.64x = 13,781.02 × 5,509.51
  4. Step 4: Simplify right side
    9,986.64x = 75,926,667.50
  5. Step 5: Solve for x
    x = 75,926,667.50/9,986.64
  6. Step 6: Final answer
    x = 7,602.82

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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.