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Finding the Fourth Proportional to 11,547.66, 15,895.74 and 9,959.66

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Solution

The fourth proportional to 11,547.66, 15,895.74 and 9,959.66 is: 13,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.66 : 15,895.74 = 9,959.66 : x
  2. Step 2: Convert to fraction form
    11,547.66/15,895.74 = 9,959.66/x
  3. Step 3: Cross multiply
    11,547.66x = 15,895.74 × 9,959.66
  4. Step 4: Simplify right side
    11,547.66x = 158,316,183.33
  5. Step 5: Solve for x
    x = 158,316,183.33/11,547.66
  6. Step 6: Final answer
    x = 13,709.80

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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.