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Finding the Fourth Proportional to 10,073.80, 13,903.14 and 7,715.08

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Solution

The fourth proportional to 10,073.80, 13,903.14 and 7,715.08 is: 10,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.80 : 13,903.14 = 7,715.08 : x
  2. Step 2: Convert to fraction form
    10,073.80/13,903.14 = 7,715.08/x
  3. Step 3: Cross multiply
    10,073.80x = 13,903.14 × 7,715.08
  4. Step 4: Simplify right side
    10,073.80x = 107,263,837.35
  5. Step 5: Solve for x
    x = 107,263,837.35/10,073.80
  6. Step 6: Final answer
    x = 10,647.80

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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.