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Finding the Fourth Proportional to 1,503.13, 2,074.32 and 839.98

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Solution

The fourth proportional to 1,503.13, 2,074.32 and 839.98 is: 1,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.13 : 2,074.32 = 839.98 : x
  2. Step 2: Convert to fraction form
    1,503.13/2,074.32 = 839.98/x
  3. Step 3: Cross multiply
    1,503.13x = 2,074.32 × 839.98
  4. Step 4: Simplify right side
    1,503.13x = 1,742,390.65
  5. Step 5: Solve for x
    x = 1,742,390.65/1,503.13
  6. Step 6: Final answer
    x = 1,159.17

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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.