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Finding the Fourth Proportional to 13,284.01, 18,332 and 7,618.98

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Solution

The fourth proportional to 13,284.01, 18,332 and 7,618.98 is: 10,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.01 : 18,332 = 7,618.98 : x
  2. Step 2: Convert to fraction form
    13,284.01/18,332 = 7,618.98/x
  3. Step 3: Cross multiply
    13,284.01x = 18,332 × 7,618.98
  4. Step 4: Simplify right side
    13,284.01x = 139,671,141.36
  5. Step 5: Solve for x
    x = 139,671,141.36/13,284.01
  6. Step 6: Final answer
    x = 10,514.23

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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.