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Finding the Fourth Proportional to 46,428, 64,071.78 and 28,512.84

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Solution

The fourth proportional to 46,428, 64,071.78 and 28,512.84 is: 39,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428 : 64,071.78 = 28,512.84 : x
  2. Step 2: Convert to fraction form
    46,428/64,071.78 = 28,512.84/x
  3. Step 3: Cross multiply
    46,428x = 64,071.78 × 28,512.84
  4. Step 4: Simplify right side
    46,428x = 1,826,868,411.66
  5. Step 5: Solve for x
    x = 1,826,868,411.66/46,428
  6. Step 6: Final answer
    x = 39,348.42

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Why These Related Problems?

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