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Finding the Fourth Proportional to 19,287.62, 28,931.43 and 6,140

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Solution

The fourth proportional to 19,287.62, 28,931.43 and 6,140 is: 9,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287.62 : 28,931.43 = 6,140 : x
  2. Step 2: Convert to fraction form
    19,287.62/28,931.43 = 6,140/x
  3. Step 3: Cross multiply
    19,287.62x = 28,931.43 × 6,140
  4. Step 4: Simplify right side
    19,287.62x = 177,638,980.20
  5. Step 5: Solve for x
    x = 177,638,980.20/19,287.62
  6. Step 6: Final answer
    x = 9,210

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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.