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Finding the Fourth Proportional to 13,284.63, 19,920.47 and 7,584.93

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Solution

The fourth proportional to 13,284.63, 19,920.47 and 7,584.93 is: 11,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.63 : 19,920.47 = 7,584.93 : x
  2. Step 2: Convert to fraction form
    13,284.63/19,920.47 = 7,584.93/x
  3. Step 3: Cross multiply
    13,284.63x = 19,920.47 × 7,584.93
  4. Step 4: Simplify right side
    13,284.63x = 151,095,332.59
  5. Step 5: Solve for x
    x = 151,095,332.59/13,284.63
  6. Step 6: Final answer
    x = 11,373.70

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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.