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Finding the Fourth Proportional to 7,139.50, 9,855.93 and 4,753.45

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Solution

The fourth proportional to 7,139.50, 9,855.93 and 4,753.45 is: 6,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.50 : 9,855.93 = 4,753.45 : x
  2. Step 2: Convert to fraction form
    7,139.50/9,855.93 = 4,753.45/x
  3. Step 3: Cross multiply
    7,139.50x = 9,855.93 × 4,753.45
  4. Step 4: Simplify right side
    7,139.50x = 46,849,670.46
  5. Step 5: Solve for x
    x = 46,849,670.46/7,139.50
  6. Step 6: Final answer
    x = 6,562.04

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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.