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Finding the Fourth Proportional to 10,209, 15,313.44 and 3,283.52

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Solution

The fourth proportional to 10,209, 15,313.44 and 3,283.52 is: 4,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209 : 15,313.44 = 3,283.52 : x
  2. Step 2: Convert to fraction form
    10,209/15,313.44 = 3,283.52/x
  3. Step 3: Cross multiply
    10,209x = 15,313.44 × 3,283.52
  4. Step 4: Simplify right side
    10,209x = 50,281,986.51
  5. Step 5: Solve for x
    x = 50,281,986.51/10,209
  6. Step 6: Final answer
    x = 4,925.26

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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.