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Finding the Fourth Proportional to 12,666.24, 19,009.80 and 8,972.10

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Solution

The fourth proportional to 12,666.24, 19,009.80 and 8,972.10 is: 13,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.24 : 19,009.80 = 8,972.10 : x
  2. Step 2: Convert to fraction form
    12,666.24/19,009.80 = 8,972.10/x
  3. Step 3: Cross multiply
    12,666.24x = 19,009.80 × 8,972.10
  4. Step 4: Simplify right side
    12,666.24x = 170,557,826.58
  5. Step 5: Solve for x
    x = 170,557,826.58/12,666.24
  6. Step 6: Final answer
    x = 13,465.55

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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.