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Finding the Fourth Proportional to 14,920.34, 20,585.88 and 9,618.26

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Solution

The fourth proportional to 14,920.34, 20,585.88 and 9,618.26 is: 13,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.34 : 20,585.88 = 9,618.26 : x
  2. Step 2: Convert to fraction form
    14,920.34/20,585.88 = 9,618.26/x
  3. Step 3: Cross multiply
    14,920.34x = 20,585.88 × 9,618.26
  4. Step 4: Simplify right side
    14,920.34x = 198,000,243.24
  5. Step 5: Solve for x
    x = 198,000,243.24/14,920.34
  6. Step 6: Final answer
    x = 13,270.50

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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.