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Finding the Fourth Proportional to 8,365, 12,547.76 and 3,101.32

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Solution

The fourth proportional to 8,365, 12,547.76 and 3,101.32 is: 4,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365 : 12,547.76 = 3,101.32 : x
  2. Step 2: Convert to fraction form
    8,365/12,547.76 = 3,101.32/x
  3. Step 3: Cross multiply
    8,365x = 12,547.76 × 3,101.32
  4. Step 4: Simplify right side
    8,365x = 38,914,619.04
  5. Step 5: Solve for x
    x = 38,914,619.04/8,365
  6. Step 6: Final answer
    x = 4,652.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.