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Finding the Fourth Proportional to 3,565, 5,348.58 and 1,256.50

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Solution

The fourth proportional to 3,565, 5,348.58 and 1,256.50 is: 1,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565 : 5,348.58 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    3,565/5,348.58 = 1,256.50/x
  3. Step 3: Cross multiply
    3,565x = 5,348.58 × 1,256.50
  4. Step 4: Simplify right side
    3,565x = 6,720,490.77
  5. Step 5: Solve for x
    x = 6,720,490.77/3,565
  6. Step 6: Final answer
    x = 1,885.13

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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.