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Finding the Fourth Proportional to 11,588.90, 15,987.04 and 6,869.84

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Solution

The fourth proportional to 11,588.90, 15,987.04 and 6,869.84 is: 9,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.90 : 15,987.04 = 6,869.84 : x
  2. Step 2: Convert to fraction form
    11,588.90/15,987.04 = 6,869.84/x
  3. Step 3: Cross multiply
    11,588.90x = 15,987.04 × 6,869.84
  4. Step 4: Simplify right side
    11,588.90x = 109,828,309.76
  5. Step 5: Solve for x
    x = 109,828,309.76/11,588.90
  6. Step 6: Final answer
    x = 9,477.03

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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.