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Finding the Fourth Proportional to 10,203.12, 15,314.94 and 6,870.96

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Solution

The fourth proportional to 10,203.12, 15,314.94 and 6,870.96 is: 10,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.12 : 15,314.94 = 6,870.96 : x
  2. Step 2: Convert to fraction form
    10,203.12/15,314.94 = 6,870.96/x
  3. Step 3: Cross multiply
    10,203.12x = 15,314.94 × 6,870.96
  4. Step 4: Simplify right side
    10,203.12x = 105,228,340.14
  5. Step 5: Solve for x
    x = 105,228,340.14/10,203.12
  6. Step 6: Final answer
    x = 10,313.35

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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.