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Finding the Fourth Proportional to 10,289, 14,195.56 and 6,308.12

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Solution

The fourth proportional to 10,289, 14,195.56 and 6,308.12 is: 8,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,195.56 = 6,308.12 : x
  2. Step 2: Convert to fraction form
    10,289/14,195.56 = 6,308.12/x
  3. Step 3: Cross multiply
    10,289x = 14,195.56 × 6,308.12
  4. Step 4: Simplify right side
    10,289x = 89,547,295.95
  5. Step 5: Solve for x
    x = 89,547,295.95/10,289
  6. Step 6: Final answer
    x = 8,703.21

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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.