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Finding the Fourth Proportional to 9,797.76, 13,530.65 and 6,442.74

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Solution

The fourth proportional to 9,797.76, 13,530.65 and 6,442.74 is: 8,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.76 : 13,530.65 = 6,442.74 : x
  2. Step 2: Convert to fraction form
    9,797.76/13,530.65 = 6,442.74/x
  3. Step 3: Cross multiply
    9,797.76x = 13,530.65 × 6,442.74
  4. Step 4: Simplify right side
    9,797.76x = 87,174,427.77
  5. Step 5: Solve for x
    x = 87,174,427.77/9,797.76
  6. Step 6: Final answer
    x = 8,897.38

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Double scale
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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.