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Finding the Fourth Proportional to 1,242.12, 1,870.40 and 897.81

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Solution

The fourth proportional to 1,242.12, 1,870.40 and 897.81 is: 1,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.12 : 1,870.40 = 897.81 : x
  2. Step 2: Convert to fraction form
    1,242.12/1,870.40 = 897.81/x
  3. Step 3: Cross multiply
    1,242.12x = 1,870.40 × 897.81
  4. Step 4: Simplify right side
    1,242.12x = 1,679,263.82
  5. Step 5: Solve for x
    x = 1,679,263.82/1,242.12
  6. Step 6: Final answer
    x = 1,351.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.