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Finding the Fourth Proportional to 19,291.52, 28,937.76 and 5,440

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Solution

The fourth proportional to 19,291.52, 28,937.76 and 5,440 is: 8,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.52 : 28,937.76 = 5,440 : x
  2. Step 2: Convert to fraction form
    19,291.52/28,937.76 = 5,440/x
  3. Step 3: Cross multiply
    19,291.52x = 28,937.76 × 5,440
  4. Step 4: Simplify right side
    19,291.52x = 157,421,414.40
  5. Step 5: Solve for x
    x = 157,421,414.40/19,291.52
  6. Step 6: Final answer
    x = 8,160.14

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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.