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Finding the Fourth Proportional to 12,607, 17,397.66 and 7,017.88

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Solution

The fourth proportional to 12,607, 17,397.66 and 7,017.88 is: 9,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607 : 17,397.66 = 7,017.88 : x
  2. Step 2: Convert to fraction form
    12,607/17,397.66 = 7,017.88/x
  3. Step 3: Cross multiply
    12,607x = 17,397.66 × 7,017.88
  4. Step 4: Simplify right side
    12,607x = 122,094,690.16
  5. Step 5: Solve for x
    x = 122,094,690.16/12,607
  6. Step 6: Final answer
    x = 9,684.67

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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.