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Finding the Fourth Proportional to 9,475.20, 13,075.20 and 7,238.16

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Solution

The fourth proportional to 9,475.20, 13,075.20 and 7,238.16 is: 9,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.20 : 13,075.20 = 7,238.16 : x
  2. Step 2: Convert to fraction form
    9,475.20/13,075.20 = 7,238.16/x
  3. Step 3: Cross multiply
    9,475.20x = 13,075.20 × 7,238.16
  4. Step 4: Simplify right side
    9,475.20x = 94,640,389.63
  5. Step 5: Solve for x
    x = 94,640,389.63/9,475.20
  6. Step 6: Final answer
    x = 9,988.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.