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Finding the Fourth Proportional to 28,556.90, 42,835.34 and 7,780.40

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Solution

The fourth proportional to 28,556.90, 42,835.34 and 7,780.40 is: 11,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.90 : 42,835.34 = 7,780.40 : x
  2. Step 2: Convert to fraction form
    28,556.90/42,835.34 = 7,780.40/x
  3. Step 3: Cross multiply
    28,556.90x = 42,835.34 × 7,780.40
  4. Step 4: Simplify right side
    28,556.90x = 333,276,045.24
  5. Step 5: Solve for x
    x = 333,276,045.24/28,556.90
  6. Step 6: Final answer
    x = 11,670.60

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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.