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Finding the Fourth Proportional to 7,141.24, 9,858 and 5,373.28

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Solution

The fourth proportional to 7,141.24, 9,858 and 5,373.28 is: 7,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.24 : 9,858 = 5,373.28 : x
  2. Step 2: Convert to fraction form
    7,141.24/9,858 = 5,373.28/x
  3. Step 3: Cross multiply
    7,141.24x = 9,858 × 5,373.28
  4. Step 4: Simplify right side
    7,141.24x = 52,969,794.24
  5. Step 5: Solve for x
    x = 52,969,794.24/7,141.24
  6. Step 6: Final answer
    x = 7,417.45

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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.