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Finding the Fourth Proportional to 1,357.95, 2,027.10 and 1,256.50

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Solution

The fourth proportional to 1,357.95, 2,027.10 and 1,256.50 is: 1,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.95 : 2,027.10 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    1,357.95/2,027.10 = 1,256.50/x
  3. Step 3: Cross multiply
    1,357.95x = 2,027.10 × 1,256.50
  4. Step 4: Simplify right side
    1,357.95x = 2,547,051.15
  5. Step 5: Solve for x
    x = 2,547,051.15/1,357.95
  6. Step 6: Final answer
    x = 1,875.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.