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Finding the Fourth Proportional to 11,547.40, 17,230.41 and 10,842.09

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Solution

The fourth proportional to 11,547.40, 17,230.41 and 10,842.09 is: 16,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.40 : 17,230.41 = 10,842.09 : x
  2. Step 2: Convert to fraction form
    11,547.40/17,230.41 = 10,842.09/x
  3. Step 3: Cross multiply
    11,547.40x = 17,230.41 × 10,842.09
  4. Step 4: Simplify right side
    11,547.40x = 186,813,615.30
  5. Step 5: Solve for x
    x = 186,813,615.30/11,547.40
  6. Step 6: Final answer
    x = 16,177.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.