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Finding the Fourth Proportional to 10,507.51, 15,750.62 and 6,812.08

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Solution

The fourth proportional to 10,507.51, 15,750.62 and 6,812.08 is: 10,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.51 : 15,750.62 = 6,812.08 : x
  2. Step 2: Convert to fraction form
    10,507.51/15,750.62 = 6,812.08/x
  3. Step 3: Cross multiply
    10,507.51x = 15,750.62 × 6,812.08
  4. Step 4: Simplify right side
    10,507.51x = 107,294,370.68
  5. Step 5: Solve for x
    x = 107,294,370.68/10,507.51
  6. Step 6: Final answer
    x = 10,211.21

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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.