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Finding the Fourth Proportional to 28,004.36, 38,646.02 and 15,429

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Solution

The fourth proportional to 28,004.36, 38,646.02 and 15,429 is: 21,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.36 : 38,646.02 = 15,429 : x
  2. Step 2: Convert to fraction form
    28,004.36/38,646.02 = 15,429/x
  3. Step 3: Cross multiply
    28,004.36x = 38,646.02 × 15,429
  4. Step 4: Simplify right side
    28,004.36x = 596,269,442.58
  5. Step 5: Solve for x
    x = 596,269,442.58/28,004.36
  6. Step 6: Final answer
    x = 21,292.02

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1.5x scale

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.