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Finding the Fourth Proportional to 2,142, 2,956.37 and 1,210.50

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Solution

The fourth proportional to 2,142, 2,956.37 and 1,210.50 is: 1,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,956.37 = 1,210.50 : x
  2. Step 2: Convert to fraction form
    2,142/2,956.37 = 1,210.50/x
  3. Step 3: Cross multiply
    2,142x = 2,956.37 × 1,210.50
  4. Step 4: Simplify right side
    2,142x = 3,578,679.83
  5. Step 5: Solve for x
    x = 3,578,679.83/2,142
  6. Step 6: Final answer
    x = 1,670.72

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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.