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Finding the Fourth Proportional to 13,970.76, 20,943.12 and 9,590.28

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Solution

The fourth proportional to 13,970.76, 20,943.12 and 9,590.28 is: 14,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.76 : 20,943.12 = 9,590.28 : x
  2. Step 2: Convert to fraction form
    13,970.76/20,943.12 = 9,590.28/x
  3. Step 3: Cross multiply
    13,970.76x = 20,943.12 × 9,590.28
  4. Step 4: Simplify right side
    13,970.76x = 200,850,384.87
  5. Step 5: Solve for x
    x = 200,850,384.87/13,970.76
  6. Step 6: Final answer
    x = 14,376.48

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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.