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Finding the Fourth Proportional to 12,527.95, 18,748.41 and 7,782.16

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Solution

The fourth proportional to 12,527.95, 18,748.41 and 7,782.16 is: 11,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.95 : 18,748.41 = 7,782.16 : x
  2. Step 2: Convert to fraction form
    12,527.95/18,748.41 = 7,782.16/x
  3. Step 3: Cross multiply
    12,527.95x = 18,748.41 × 7,782.16
  4. Step 4: Simplify right side
    12,527.95x = 145,903,129.24
  5. Step 5: Solve for x
    x = 145,903,129.24/12,527.95
  6. Step 6: Final answer
    x = 11,646.21

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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.