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Finding the Fourth Proportional to 7,035.66, 10,557 and 2,878.74

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Solution

The fourth proportional to 7,035.66, 10,557 and 2,878.74 is: 4,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.66 : 10,557 = 2,878.74 : x
  2. Step 2: Convert to fraction form
    7,035.66/10,557 = 2,878.74/x
  3. Step 3: Cross multiply
    7,035.66x = 10,557 × 2,878.74
  4. Step 4: Simplify right side
    7,035.66x = 30,390,858.18
  5. Step 5: Solve for x
    x = 30,390,858.18/7,035.66
  6. Step 6: Final answer
    x = 4,319.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.