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Finding the Fourth Proportional to 9,686.66, 13,368.21 and 5,438.03

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Solution

The fourth proportional to 9,686.66, 13,368.21 and 5,438.03 is: 7,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.66 : 13,368.21 = 5,438.03 : x
  2. Step 2: Convert to fraction form
    9,686.66/13,368.21 = 5,438.03/x
  3. Step 3: Cross multiply
    9,686.66x = 13,368.21 × 5,438.03
  4. Step 4: Simplify right side
    9,686.66x = 72,696,727.03
  5. Step 5: Solve for x
    x = 72,696,727.03/9,686.66
  6. Step 6: Final answer
    x = 7,504.83

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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.