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Finding the Fourth Proportional to 9,989.16, 13,785.04 and 7,341.52

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Solution

The fourth proportional to 9,989.16, 13,785.04 and 7,341.52 is: 10,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.16 : 13,785.04 = 7,341.52 : x
  2. Step 2: Convert to fraction form
    9,989.16/13,785.04 = 7,341.52/x
  3. Step 3: Cross multiply
    9,989.16x = 13,785.04 × 7,341.52
  4. Step 4: Simplify right side
    9,989.16x = 101,203,106.13
  5. Step 5: Solve for x
    x = 101,203,106.13/9,989.16
  6. Step 6: Final answer
    x = 10,131.30

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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.