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Finding the Fourth Proportional to 13,009.70, 19,514.58 and 7,499.06

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Solution

The fourth proportional to 13,009.70, 19,514.58 and 7,499.06 is: 11,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.70 : 19,514.58 = 7,499.06 : x
  2. Step 2: Convert to fraction form
    13,009.70/19,514.58 = 7,499.06/x
  3. Step 3: Cross multiply
    13,009.70x = 19,514.58 × 7,499.06
  4. Step 4: Simplify right side
    13,009.70x = 146,341,006.29
  5. Step 5: Solve for x
    x = 146,341,006.29/13,009.70
  6. Step 6: Final answer
    x = 11,248.61

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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.