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Finding the Fourth Proportional to 30,831.55, 42,547.64 and 16,684.39

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Solution

The fourth proportional to 30,831.55, 42,547.64 and 16,684.39 is: 23,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.55 : 42,547.64 = 16,684.39 : x
  2. Step 2: Convert to fraction form
    30,831.55/42,547.64 = 16,684.39/x
  3. Step 3: Cross multiply
    30,831.55x = 42,547.64 × 16,684.39
  4. Step 4: Simplify right side
    30,831.55x = 709,881,354.68
  5. Step 5: Solve for x
    x = 709,881,354.68/30,831.55
  6. Step 6: Final answer
    x = 23,024.51

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