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Finding the Fourth Proportional to 7,238.32, 9,985.53 and 4,254.10

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Solution

The fourth proportional to 7,238.32, 9,985.53 and 4,254.10 is: 5,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.32 : 9,985.53 = 4,254.10 : x
  2. Step 2: Convert to fraction form
    7,238.32/9,985.53 = 4,254.10/x
  3. Step 3: Cross multiply
    7,238.32x = 9,985.53 × 4,254.10
  4. Step 4: Simplify right side
    7,238.32x = 42,479,443.17
  5. Step 5: Solve for x
    x = 42,479,443.17/7,238.32
  6. Step 6: Final answer
    x = 5,868.69

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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.