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Finding the Fourth Proportional to 12,587.76, 17,373.76 and 7,985.57

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Solution

The fourth proportional to 12,587.76, 17,373.76 and 7,985.57 is: 11,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.76 : 17,373.76 = 7,985.57 : x
  2. Step 2: Convert to fraction form
    12,587.76/17,373.76 = 7,985.57/x
  3. Step 3: Cross multiply
    12,587.76x = 17,373.76 × 7,985.57
  4. Step 4: Simplify right side
    12,587.76x = 138,739,347.73
  5. Step 5: Solve for x
    x = 138,739,347.73/12,587.76
  6. Step 6: Final answer
    x = 11,021.77

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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.