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Finding the Fourth Proportional to 12,987.85, 17,924.16 and 7,323.11

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Solution

The fourth proportional to 12,987.85, 17,924.16 and 7,323.11 is: 10,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.85 : 17,924.16 = 7,323.11 : x
  2. Step 2: Convert to fraction form
    12,987.85/17,924.16 = 7,323.11/x
  3. Step 3: Cross multiply
    12,987.85x = 17,924.16 × 7,323.11
  4. Step 4: Simplify right side
    12,987.85x = 131,260,595.34
  5. Step 5: Solve for x
    x = 131,260,595.34/12,987.85
  6. Step 6: Final answer
    x = 10,106.41

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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.