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Finding the Fourth Proportional to 1,953.64, 2,927.86 and 856.63

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Solution

The fourth proportional to 1,953.64, 2,927.86 and 856.63 is: 1,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.64 : 2,927.86 = 856.63 : x
  2. Step 2: Convert to fraction form
    1,953.64/2,927.86 = 856.63/x
  3. Step 3: Cross multiply
    1,953.64x = 2,927.86 × 856.63
  4. Step 4: Simplify right side
    1,953.64x = 2,508,092.71
  5. Step 5: Solve for x
    x = 2,508,092.71/1,953.64
  6. Step 6: Final answer
    x = 1,283.80

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