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Finding the Fourth Proportional to 1,889.40, 2,607.32 and 1,061.40

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Solution

The fourth proportional to 1,889.40, 2,607.32 and 1,061.40 is: 1,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.40 : 2,607.32 = 1,061.40 : x
  2. Step 2: Convert to fraction form
    1,889.40/2,607.32 = 1,061.40/x
  3. Step 3: Cross multiply
    1,889.40x = 2,607.32 × 1,061.40
  4. Step 4: Simplify right side
    1,889.40x = 2,767,409.45
  5. Step 5: Solve for x
    x = 2,767,409.45/1,889.40
  6. Step 6: Final answer
    x = 1,464.70

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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.