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Finding the Fourth Proportional to 9,686.52, 13,368.12 and 5,438.08

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Solution

The fourth proportional to 9,686.52, 13,368.12 and 5,438.08 is: 7,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.52 : 13,368.12 = 5,438.08 : x
  2. Step 2: Convert to fraction form
    9,686.52/13,368.12 = 5,438.08/x
  3. Step 3: Cross multiply
    9,686.52x = 13,368.12 × 5,438.08
  4. Step 4: Simplify right side
    9,686.52x = 72,696,906.01
  5. Step 5: Solve for x
    x = 72,696,906.01/9,686.52
  6. Step 6: Final answer
    x = 7,504.96

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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.