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Finding the Fourth Proportional to 1,488, 2,052.05 and 1,070.43

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Solution

The fourth proportional to 1,488, 2,052.05 and 1,070.43 is: 1,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488 : 2,052.05 = 1,070.43 : x
  2. Step 2: Convert to fraction form
    1,488/2,052.05 = 1,070.43/x
  3. Step 3: Cross multiply
    1,488x = 2,052.05 × 1,070.43
  4. Step 4: Simplify right side
    1,488x = 2,196,570.53
  5. Step 5: Solve for x
    x = 2,196,570.53/1,488
  6. Step 6: Final answer
    x = 1,476.19

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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.