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Finding the Fourth Proportional to 1,565.06, 2,159.70 and 856.87

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Solution

The fourth proportional to 1,565.06, 2,159.70 and 856.87 is: 1,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.06 : 2,159.70 = 856.87 : x
  2. Step 2: Convert to fraction form
    1,565.06/2,159.70 = 856.87/x
  3. Step 3: Cross multiply
    1,565.06x = 2,159.70 × 856.87
  4. Step 4: Simplify right side
    1,565.06x = 1,850,573.53
  5. Step 5: Solve for x
    x = 1,850,573.53/1,565.06
  6. Step 6: Final answer
    x = 1,182.43

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1.5x scale

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.