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Finding the Fourth Proportional to 1,533.76, 2,116.53 and 895.66

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Solution

The fourth proportional to 1,533.76, 2,116.53 and 895.66 is: 1,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.76 : 2,116.53 = 895.66 : x
  2. Step 2: Convert to fraction form
    1,533.76/2,116.53 = 895.66/x
  3. Step 3: Cross multiply
    1,533.76x = 2,116.53 × 895.66
  4. Step 4: Simplify right side
    1,533.76x = 1,895,685.97
  5. Step 5: Solve for x
    x = 1,895,685.97/1,533.76
  6. Step 6: Final answer
    x = 1,235.98

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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.