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Finding the Fourth Proportional to 10,530, 15,713.33 and 9,130.32

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Solution

The fourth proportional to 10,530, 15,713.33 and 9,130.32 is: 13,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 15,713.33 = 9,130.32 : x
  2. Step 2: Convert to fraction form
    10,530/15,713.33 = 9,130.32/x
  3. Step 3: Cross multiply
    10,530x = 15,713.33 × 9,130.32
  4. Step 4: Simplify right side
    10,530x = 143,467,685.51
  5. Step 5: Solve for x
    x = 143,467,685.51/10,530
  6. Step 6: Final answer
    x = 13,624.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.