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Finding the Fourth Proportional to 13,878.48, 19,152.18 and 7,590.90

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Solution

The fourth proportional to 13,878.48, 19,152.18 and 7,590.90 is: 10,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.48 : 19,152.18 = 7,590.90 : x
  2. Step 2: Convert to fraction form
    13,878.48/19,152.18 = 7,590.90/x
  3. Step 3: Cross multiply
    13,878.48x = 19,152.18 × 7,590.90
  4. Step 4: Simplify right side
    13,878.48x = 145,382,283.16
  5. Step 5: Solve for x
    x = 145,382,283.16/13,878.48
  6. Step 6: Final answer
    x = 10,475.38

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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.