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Finding the Fourth Proportional to 12,985.64, 17,920.68 and 7,396.64

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Solution

The fourth proportional to 12,985.64, 17,920.68 and 7,396.64 is: 10,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.64 : 17,920.68 = 7,396.64 : x
  2. Step 2: Convert to fraction form
    12,985.64/17,920.68 = 7,396.64/x
  3. Step 3: Cross multiply
    12,985.64x = 17,920.68 × 7,396.64
  4. Step 4: Simplify right side
    12,985.64x = 132,552,818.52
  5. Step 5: Solve for x
    x = 132,552,818.52/12,985.64
  6. Step 6: Final answer
    x = 10,207.65

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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.