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Finding the Fourth Proportional to 12,677.76, 17,495.19 and 7,088.76

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Solution

The fourth proportional to 12,677.76, 17,495.19 and 7,088.76 is: 9,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.76 : 17,495.19 = 7,088.76 : x
  2. Step 2: Convert to fraction form
    12,677.76/17,495.19 = 7,088.76/x
  3. Step 3: Cross multiply
    12,677.76x = 17,495.19 × 7,088.76
  4. Step 4: Simplify right side
    12,677.76x = 124,019,203.06
  5. Step 5: Solve for x
    x = 124,019,203.06/12,677.76
  6. Step 6: Final answer
    x = 9,782.42

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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.