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Finding the Fourth Proportional to 16,831.20, 25,271.10 and 12,700.20

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Solution

The fourth proportional to 16,831.20, 25,271.10 and 12,700.20 is: 19,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.20 : 25,271.10 = 12,700.20 : x
  2. Step 2: Convert to fraction form
    16,831.20/25,271.10 = 12,700.20/x
  3. Step 3: Cross multiply
    16,831.20x = 25,271.10 × 12,700.20
  4. Step 4: Simplify right side
    16,831.20x = 320,948,024.22
  5. Step 5: Solve for x
    x = 320,948,024.22/16,831.20
  6. Step 6: Final answer
    x = 19,068.64

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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.