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Finding the Fourth Proportional to 9,240, 12,751.47 and 5,048.52

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Solution

The fourth proportional to 9,240, 12,751.47 and 5,048.52 is: 6,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240 : 12,751.47 = 5,048.52 : x
  2. Step 2: Convert to fraction form
    9,240/12,751.47 = 5,048.52/x
  3. Step 3: Cross multiply
    9,240x = 12,751.47 × 5,048.52
  4. Step 4: Simplify right side
    9,240x = 64,376,051.32
  5. Step 5: Solve for x
    x = 64,376,051.32/9,240
  6. Step 6: Final answer
    x = 6,967.11

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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.