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Finding the Fourth Proportional to 11,547, 15,932.07 and 6,828.66

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Solution

The fourth proportional to 11,547, 15,932.07 and 6,828.66 is: 9,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 15,932.07 = 6,828.66 : x
  2. Step 2: Convert to fraction form
    11,547/15,932.07 = 6,828.66/x
  3. Step 3: Cross multiply
    11,547x = 15,932.07 × 6,828.66
  4. Step 4: Simplify right side
    11,547x = 108,794,689.13
  5. Step 5: Solve for x
    x = 108,794,689.13/11,547
  6. Step 6: Final answer
    x = 9,421.90

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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.