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Finding the Fourth Proportional to 10,533, 15,804.11 and 4,990.31

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Solution

The fourth proportional to 10,533, 15,804.11 and 4,990.31 is: 7,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533 : 15,804.11 = 4,990.31 : x
  2. Step 2: Convert to fraction form
    10,533/15,804.11 = 4,990.31/x
  3. Step 3: Cross multiply
    10,533x = 15,804.11 × 4,990.31
  4. Step 4: Simplify right side
    10,533x = 78,867,341.63
  5. Step 5: Solve for x
    x = 78,867,341.63/10,533
  6. Step 6: Final answer
    x = 7,487.64

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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.