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Finding the Fourth Proportional to 9,480.40, 13,083 and 5,288.64

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Solution

The fourth proportional to 9,480.40, 13,083 and 5,288.64 is: 7,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.40 : 13,083 = 5,288.64 : x
  2. Step 2: Convert to fraction form
    9,480.40/13,083 = 5,288.64/x
  3. Step 3: Cross multiply
    9,480.40x = 13,083 × 5,288.64
  4. Step 4: Simplify right side
    9,480.40x = 69,191,277.12
  5. Step 5: Solve for x
    x = 69,191,277.12/9,480.40
  6. Step 6: Final answer
    x = 7,298.35

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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.