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Finding the Fourth Proportional to 12,159.01, 18,206.88 and 10,415.20

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Solution

The fourth proportional to 12,159.01, 18,206.88 and 10,415.20 is: 15,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.01 : 18,206.88 = 10,415.20 : x
  2. Step 2: Convert to fraction form
    12,159.01/18,206.88 = 10,415.20/x
  3. Step 3: Cross multiply
    12,159.01x = 18,206.88 × 10,415.20
  4. Step 4: Simplify right side
    12,159.01x = 189,628,296.58
  5. Step 5: Solve for x
    x = 189,628,296.58/12,159.01
  6. Step 6: Final answer
    x = 15,595.70

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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.