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Finding the Fourth Proportional to 9,875.76, 13,620.87 and 6,339.30

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Solution

The fourth proportional to 9,875.76, 13,620.87 and 6,339.30 is: 8,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.76 : 13,620.87 = 6,339.30 : x
  2. Step 2: Convert to fraction form
    9,875.76/13,620.87 = 6,339.30/x
  3. Step 3: Cross multiply
    9,875.76x = 13,620.87 × 6,339.30
  4. Step 4: Simplify right side
    9,875.76x = 86,346,781.19
  5. Step 5: Solve for x
    x = 86,346,781.19/9,875.76
  6. Step 6: Final answer
    x = 8,743.30

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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.