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Finding the Fourth Proportional to 11,590.06, 15,987.06 and 6,871

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Solution

The fourth proportional to 11,590.06, 15,987.06 and 6,871 is: 9,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.06 : 15,987.06 = 6,871 : x
  2. Step 2: Convert to fraction form
    11,590.06/15,987.06 = 6,871/x
  3. Step 3: Cross multiply
    11,590.06x = 15,987.06 × 6,871
  4. Step 4: Simplify right side
    11,590.06x = 109,847,089.26
  5. Step 5: Solve for x
    x = 109,847,089.26/11,590.06
  6. Step 6: Final answer
    x = 9,477.70

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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.