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Finding the Fourth Proportional to 15,507, 23,261.28 and 5,119.56

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Solution

The fourth proportional to 15,507, 23,261.28 and 5,119.56 is: 7,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507 : 23,261.28 = 5,119.56 : x
  2. Step 2: Convert to fraction form
    15,507/23,261.28 = 5,119.56/x
  3. Step 3: Cross multiply
    15,507x = 23,261.28 × 5,119.56
  4. Step 4: Simplify right side
    15,507x = 119,087,518.64
  5. Step 5: Solve for x
    x = 119,087,518.64/15,507
  6. Step 6: Final answer
    x = 7,679.60

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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.