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Finding the Fourth Proportional to 1,520, 2,099.04 and 1,465.28

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Solution

The fourth proportional to 1,520, 2,099.04 and 1,465.28 is: 2,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520 : 2,099.04 = 1,465.28 : x
  2. Step 2: Convert to fraction form
    1,520/2,099.04 = 1,465.28/x
  3. Step 3: Cross multiply
    1,520x = 2,099.04 × 1,465.28
  4. Step 4: Simplify right side
    1,520x = 3,075,681.33
  5. Step 5: Solve for x
    x = 3,075,681.33/1,520
  6. Step 6: Final answer
    x = 2,023.47

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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.