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Finding the Fourth Proportional to 10,886, 15,022.68 and 6,470

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Solution

The fourth proportional to 10,886, 15,022.68 and 6,470 is: 8,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886 : 15,022.68 = 6,470 : x
  2. Step 2: Convert to fraction form
    10,886/15,022.68 = 6,470/x
  3. Step 3: Cross multiply
    10,886x = 15,022.68 × 6,470
  4. Step 4: Simplify right side
    10,886x = 97,196,739.60
  5. Step 5: Solve for x
    x = 97,196,739.60/10,886
  6. Step 6: Final answer
    x = 8,928.60

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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.