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Finding the Fourth Proportional to 14,055, 19,395.64 and 7,767.24

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Solution

The fourth proportional to 14,055, 19,395.64 and 7,767.24 is: 10,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055 : 19,395.64 = 7,767.24 : x
  2. Step 2: Convert to fraction form
    14,055/19,395.64 = 7,767.24/x
  3. Step 3: Cross multiply
    14,055x = 19,395.64 × 7,767.24
  4. Step 4: Simplify right side
    14,055x = 150,650,590.83
  5. Step 5: Solve for x
    x = 150,650,590.83/14,055
  6. Step 6: Final answer
    x = 10,718.65

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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.