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Finding the Fourth Proportional to 9,489.16, 13,101.54 and 7,509.40

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Solution

The fourth proportional to 9,489.16, 13,101.54 and 7,509.40 is: 10,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.16 : 13,101.54 = 7,509.40 : x
  2. Step 2: Convert to fraction form
    9,489.16/13,101.54 = 7,509.40/x
  3. Step 3: Cross multiply
    9,489.16x = 13,101.54 × 7,509.40
  4. Step 4: Simplify right side
    9,489.16x = 98,384,704.48
  5. Step 5: Solve for x
    x = 98,384,704.48/9,489.16
  6. Step 6: Final answer
    x = 10,368.12

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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.