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Finding the Fourth Proportional to 12,347.76, 18,520.92 and 7,384.08

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Solution

The fourth proportional to 12,347.76, 18,520.92 and 7,384.08 is: 11,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.76 : 18,520.92 = 7,384.08 : x
  2. Step 2: Convert to fraction form
    12,347.76/18,520.92 = 7,384.08/x
  3. Step 3: Cross multiply
    12,347.76x = 18,520.92 × 7,384.08
  4. Step 4: Simplify right side
    12,347.76x = 136,759,954.95
  5. Step 5: Solve for x
    x = 136,759,954.95/12,347.76
  6. Step 6: Final answer
    x = 11,075.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.