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Finding the Fourth Proportional to 7,300, 10,074 and 4,507.84

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Solution

The fourth proportional to 7,300, 10,074 and 4,507.84 is: 6,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300 : 10,074 = 4,507.84 : x
  2. Step 2: Convert to fraction form
    7,300/10,074 = 4,507.84/x
  3. Step 3: Cross multiply
    7,300x = 10,074 × 4,507.84
  4. Step 4: Simplify right side
    7,300x = 45,411,980.16
  5. Step 5: Solve for x
    x = 45,411,980.16/7,300
  6. Step 6: Final answer
    x = 6,220.82

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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.