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Finding the Fourth Proportional to 31,752.90, 47,619.63 and 21,955.14

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Solution

The fourth proportional to 31,752.90, 47,619.63 and 21,955.14 is: 32,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.90 : 47,619.63 = 21,955.14 : x
  2. Step 2: Convert to fraction form
    31,752.90/47,619.63 = 21,955.14/x
  3. Step 3: Cross multiply
    31,752.90x = 47,619.63 × 21,955.14
  4. Step 4: Simplify right side
    31,752.90x = 1,045,495,643.40
  5. Step 5: Solve for x
    x = 1,045,495,643.40/31,752.90
  6. Step 6: Final answer
    x = 32,925.99

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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.