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Finding the Fourth Proportional to 7,785.72, 10,746.90 and 4,800.24

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Solution

The fourth proportional to 7,785.72, 10,746.90 and 4,800.24 is: 6,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.72 : 10,746.90 = 4,800.24 : x
  2. Step 2: Convert to fraction form
    7,785.72/10,746.90 = 4,800.24/x
  3. Step 3: Cross multiply
    7,785.72x = 10,746.90 × 4,800.24
  4. Step 4: Simplify right side
    7,785.72x = 51,587,699.26
  5. Step 5: Solve for x
    x = 51,587,699.26/7,785.72
  6. Step 6: Final answer
    x = 6,625.94

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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.