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Finding the Fourth Proportional to 7,305.12, 10,075.68 and 6,298.68

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Solution

The fourth proportional to 7,305.12, 10,075.68 and 6,298.68 is: 8,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.12 : 10,075.68 = 6,298.68 : x
  2. Step 2: Convert to fraction form
    7,305.12/10,075.68 = 6,298.68/x
  3. Step 3: Cross multiply
    7,305.12x = 10,075.68 × 6,298.68
  4. Step 4: Simplify right side
    7,305.12x = 63,463,484.10
  5. Step 5: Solve for x
    x = 63,463,484.10/7,305.12
  6. Step 6: Final answer
    x = 8,687.53

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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.