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Finding the Fourth Proportional to 4,702.96, 7,053.54 and 1,780.30

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Solution

The fourth proportional to 4,702.96, 7,053.54 and 1,780.30 is: 2,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.96 : 7,053.54 = 1,780.30 : x
  2. Step 2: Convert to fraction form
    4,702.96/7,053.54 = 1,780.30/x
  3. Step 3: Cross multiply
    4,702.96x = 7,053.54 × 1,780.30
  4. Step 4: Simplify right side
    4,702.96x = 12,557,417.26
  5. Step 5: Solve for x
    x = 12,557,417.26/4,702.96
  6. Step 6: Final answer
    x = 2,670.11

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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.