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Finding the Fourth Proportional to 1,488.02, 2,056.02 and 1,435.46

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Solution

The fourth proportional to 1,488.02, 2,056.02 and 1,435.46 is: 1,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.02 : 2,056.02 = 1,435.46 : x
  2. Step 2: Convert to fraction form
    1,488.02/2,056.02 = 1,435.46/x
  3. Step 3: Cross multiply
    1,488.02x = 2,056.02 × 1,435.46
  4. Step 4: Simplify right side
    1,488.02x = 2,951,334.47
  5. Step 5: Solve for x
    x = 2,951,334.47/1,488.02
  6. Step 6: Final answer
    x = 1,983.40

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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.