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Finding the Fourth Proportional to 15,920.55, 21,970.04 and 9,206.06

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Solution

The fourth proportional to 15,920.55, 21,970.04 and 9,206.06 is: 12,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.55 : 21,970.04 = 9,206.06 : x
  2. Step 2: Convert to fraction form
    15,920.55/21,970.04 = 9,206.06/x
  3. Step 3: Cross multiply
    15,920.55x = 21,970.04 × 9,206.06
  4. Step 4: Simplify right side
    15,920.55x = 202,257,350.56
  5. Step 5: Solve for x
    x = 202,257,350.56/15,920.55
  6. Step 6: Final answer
    x = 12,704.17

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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.