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Finding the Fourth Proportional to 1,565.84, 2,133.92 and 1,560.08

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Solution

The fourth proportional to 1,565.84, 2,133.92 and 1,560.08 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.84 : 2,133.92 = 1,560.08 : x
  2. Step 2: Convert to fraction form
    1,565.84/2,133.92 = 1,560.08/x
  3. Step 3: Cross multiply
    1,565.84x = 2,133.92 × 1,560.08
  4. Step 4: Simplify right side
    1,565.84x = 3,329,085.91
  5. Step 5: Solve for x
    x = 3,329,085.91/1,565.84
  6. Step 6: Final answer
    x = 2,126.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.