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Finding the Fourth Proportional to 9,831.51, 14,671.71 and 8,780.54

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Solution

The fourth proportional to 9,831.51, 14,671.71 and 8,780.54 is: 13,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.51 : 14,671.71 = 8,780.54 : x
  2. Step 2: Convert to fraction form
    9,831.51/14,671.71 = 8,780.54/x
  3. Step 3: Cross multiply
    9,831.51x = 14,671.71 × 8,780.54
  4. Step 4: Simplify right side
    9,831.51x = 128,825,463.16
  5. Step 5: Solve for x
    x = 128,825,463.16/9,831.51
  6. Step 6: Final answer
    x = 13,103.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.