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Finding the Fourth Proportional to 6,102.40, 9,143.76 and 5,130.40

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Solution

The fourth proportional to 6,102.40, 9,143.76 and 5,130.40 is: 7,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,143.76 = 5,130.40 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,143.76 = 5,130.40/x
  3. Step 3: Cross multiply
    6,102.40x = 9,143.76 × 5,130.40
  4. Step 4: Simplify right side
    6,102.40x = 46,911,146.30
  5. Step 5: Solve for x
    x = 46,911,146.30/6,102.40
  6. Step 6: Final answer
    x = 7,687.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.