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Finding the Fourth Proportional to 10,191.60, 14,070.24 and 7,009.68

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Solution

The fourth proportional to 10,191.60, 14,070.24 and 7,009.68 is: 9,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.60 : 14,070.24 = 7,009.68 : x
  2. Step 2: Convert to fraction form
    10,191.60/14,070.24 = 7,009.68/x
  3. Step 3: Cross multiply
    10,191.60x = 14,070.24 × 7,009.68
  4. Step 4: Simplify right side
    10,191.60x = 98,627,879.92
  5. Step 5: Solve for x
    x = 98,627,879.92/10,191.60
  6. Step 6: Final answer
    x = 9,677.37

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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.