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Finding the Fourth Proportional to 15,002.55, 20,655 and 12,345.21

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Solution

The fourth proportional to 15,002.55, 20,655 and 12,345.21 is: 16,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.55 : 20,655 = 12,345.21 : x
  2. Step 2: Convert to fraction form
    15,002.55/20,655 = 12,345.21/x
  3. Step 3: Cross multiply
    15,002.55x = 20,655 × 12,345.21
  4. Step 4: Simplify right side
    15,002.55x = 254,990,312.55
  5. Step 5: Solve for x
    x = 254,990,312.55/15,002.55
  6. Step 6: Final answer
    x = 16,996.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.