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Finding the Fourth Proportional to 38,484, 53,107.92 and 21,718.08

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Solution

The fourth proportional to 38,484, 53,107.92 and 21,718.08 is: 29,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484 : 53,107.92 = 21,718.08 : x
  2. Step 2: Convert to fraction form
    38,484/53,107.92 = 21,718.08/x
  3. Step 3: Cross multiply
    38,484x = 53,107.92 × 21,718.08
  4. Step 4: Simplify right side
    38,484x = 1,153,402,055.19
  5. Step 5: Solve for x
    x = 1,153,402,055.19/38,484
  6. Step 6: Final answer
    x = 29,970.95

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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.