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Finding the Fourth Proportional to 13,903.76, 20,842.68 and 6,970.16

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Solution

The fourth proportional to 13,903.76, 20,842.68 and 6,970.16 is: 10,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.76 : 20,842.68 = 6,970.16 : x
  2. Step 2: Convert to fraction form
    13,903.76/20,842.68 = 6,970.16/x
  3. Step 3: Cross multiply
    13,903.76x = 20,842.68 × 6,970.16
  4. Step 4: Simplify right side
    13,903.76x = 145,276,814.43
  5. Step 5: Solve for x
    x = 145,276,814.43/13,903.76
  6. Step 6: Final answer
    x = 10,448.74

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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.