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Finding the Fourth Proportional to 5,382, 7,430.56 and 4,389.68

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Solution

The fourth proportional to 5,382, 7,430.56 and 4,389.68 is: 6,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 7,430.56 = 4,389.68 : x
  2. Step 2: Convert to fraction form
    5,382/7,430.56 = 4,389.68/x
  3. Step 3: Cross multiply
    5,382x = 7,430.56 × 4,389.68
  4. Step 4: Simplify right side
    5,382x = 32,617,780.62
  5. Step 5: Solve for x
    x = 32,617,780.62/5,382
  6. Step 6: Final answer
    x = 6,060.53

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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.