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Finding the Fourth Proportional to 14,353.71, 19,808.46 and 7,980.50

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Solution

The fourth proportional to 14,353.71, 19,808.46 and 7,980.50 is: 11,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.71 : 19,808.46 = 7,980.50 : x
  2. Step 2: Convert to fraction form
    14,353.71/19,808.46 = 7,980.50/x
  3. Step 3: Cross multiply
    14,353.71x = 19,808.46 × 7,980.50
  4. Step 4: Simplify right side
    14,353.71x = 158,081,415.03
  5. Step 5: Solve for x
    x = 158,081,415.03/14,353.71
  6. Step 6: Final answer
    x = 11,013.28

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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.