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Finding the Fourth Proportional to 5,263.97, 7,894.58 and 1,565.21

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Solution

The fourth proportional to 5,263.97, 7,894.58 and 1,565.21 is: 2,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.97 : 7,894.58 = 1,565.21 : x
  2. Step 2: Convert to fraction form
    5,263.97/7,894.58 = 1,565.21/x
  3. Step 3: Cross multiply
    5,263.97x = 7,894.58 × 1,565.21
  4. Step 4: Simplify right side
    5,263.97x = 12,356,628.26
  5. Step 5: Solve for x
    x = 12,356,628.26/5,263.97
  6. Step 6: Final answer
    x = 2,347.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.