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Finding the Fourth Proportional to 7,152, 9,870.17 and 4,009.20

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Solution

The fourth proportional to 7,152, 9,870.17 and 4,009.20 is: 5,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152 : 9,870.17 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    7,152/9,870.17 = 4,009.20/x
  3. Step 3: Cross multiply
    7,152x = 9,870.17 × 4,009.20
  4. Step 4: Simplify right side
    7,152x = 39,571,485.56
  5. Step 5: Solve for x
    x = 39,571,485.56/7,152
  6. Step 6: Final answer
    x = 5,532.93

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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.