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Finding the Fourth Proportional to 11,686.64, 16,124.92 and 6,970

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Solution

The fourth proportional to 11,686.64, 16,124.92 and 6,970 is: 9,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.64 : 16,124.92 = 6,970 : x
  2. Step 2: Convert to fraction form
    11,686.64/16,124.92 = 6,970/x
  3. Step 3: Cross multiply
    11,686.64x = 16,124.92 × 6,970
  4. Step 4: Simplify right side
    11,686.64x = 112,390,692.40
  5. Step 5: Solve for x
    x = 112,390,692.40/11,686.64
  6. Step 6: Final answer
    x = 9,617.02

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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.