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Finding the Fourth Proportional to 7,758.60, 10,707.30 and 4,400.16

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Solution

The fourth proportional to 7,758.60, 10,707.30 and 4,400.16 is: 6,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.60 : 10,707.30 = 4,400.16 : x
  2. Step 2: Convert to fraction form
    7,758.60/10,707.30 = 4,400.16/x
  3. Step 3: Cross multiply
    7,758.60x = 10,707.30 × 4,400.16
  4. Step 4: Simplify right side
    7,758.60x = 47,113,833.17
  5. Step 5: Solve for x
    x = 47,113,833.17/7,758.60
  6. Step 6: Final answer
    x = 6,072.47

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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.