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Finding the Fourth Proportional to 10,569.34, 15,854.01 and 2,777.50

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Solution

The fourth proportional to 10,569.34, 15,854.01 and 2,777.50 is: 4,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.34 : 15,854.01 = 2,777.50 : x
  2. Step 2: Convert to fraction form
    10,569.34/15,854.01 = 2,777.50/x
  3. Step 3: Cross multiply
    10,569.34x = 15,854.01 × 2,777.50
  4. Step 4: Simplify right side
    10,569.34x = 44,034,512.78
  5. Step 5: Solve for x
    x = 44,034,512.78/10,569.34
  6. Step 6: Final answer
    x = 4,166.25

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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.