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Finding the Fourth Proportional to 7,145.48, 9,865.14 and 5,659.40

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Solution

The fourth proportional to 7,145.48, 9,865.14 and 5,659.40 is: 7,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.48 : 9,865.14 = 5,659.40 : x
  2. Step 2: Convert to fraction form
    7,145.48/9,865.14 = 5,659.40/x
  3. Step 3: Cross multiply
    7,145.48x = 9,865.14 × 5,659.40
  4. Step 4: Simplify right side
    7,145.48x = 55,830,773.32
  5. Step 5: Solve for x
    x = 55,830,773.32/7,145.48
  6. Step 6: Final answer
    x = 7,813.44

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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.