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Finding the Fourth Proportional to 10,009.60, 13,813.02 and 7,143.57

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Solution

The fourth proportional to 10,009.60, 13,813.02 and 7,143.57 is: 9,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.60 : 13,813.02 = 7,143.57 : x
  2. Step 2: Convert to fraction form
    10,009.60/13,813.02 = 7,143.57/x
  3. Step 3: Cross multiply
    10,009.60x = 13,813.02 × 7,143.57
  4. Step 4: Simplify right side
    10,009.60x = 98,674,275.28
  5. Step 5: Solve for x
    x = 98,674,275.28/10,009.60
  6. Step 6: Final answer
    x = 9,857.97

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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.