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Finding the Fourth Proportional to 30,831.16, 46,160.46 and 19,709.88

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Solution

The fourth proportional to 30,831.16, 46,160.46 and 19,709.88 is: 29,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.16 : 46,160.46 = 19,709.88 : x
  2. Step 2: Convert to fraction form
    30,831.16/46,160.46 = 19,709.88/x
  3. Step 3: Cross multiply
    30,831.16x = 46,160.46 × 19,709.88
  4. Step 4: Simplify right side
    30,831.16x = 909,817,127.34
  5. Step 5: Solve for x
    x = 909,817,127.34/30,831.16
  6. Step 6: Final answer
    x = 29,509.66

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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.