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Finding the Fourth Proportional to 35,831.40, 49,447.04 and 19,478.50

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Solution

The fourth proportional to 35,831.40, 49,447.04 and 19,478.50 is: 26,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.40 : 49,447.04 = 19,478.50 : x
  2. Step 2: Convert to fraction form
    35,831.40/49,447.04 = 19,478.50/x
  3. Step 3: Cross multiply
    35,831.40x = 49,447.04 × 19,478.50
  4. Step 4: Simplify right side
    35,831.40x = 963,153,947.63
  5. Step 5: Solve for x
    x = 963,153,947.63/35,831.40
  6. Step 6: Final answer
    x = 26,880.17

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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.