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Finding the Fourth Proportional to 9,785.54, 13,494.87 and 7,543.87

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Solution

The fourth proportional to 9,785.54, 13,494.87 and 7,543.87 is: 10,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.54 : 13,494.87 = 7,543.87 : x
  2. Step 2: Convert to fraction form
    9,785.54/13,494.87 = 7,543.87/x
  3. Step 3: Cross multiply
    9,785.54x = 13,494.87 × 7,543.87
  4. Step 4: Simplify right side
    9,785.54x = 101,803,511.21
  5. Step 5: Solve for x
    x = 101,803,511.21/9,785.54
  6. Step 6: Final answer
    x = 10,403.46

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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.