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Finding the Fourth Proportional to 5,707.34, 7,878.32 and 5,108.77

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Solution

The fourth proportional to 5,707.34, 7,878.32 and 5,108.77 is: 7,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.34 : 7,878.32 = 5,108.77 : x
  2. Step 2: Convert to fraction form
    5,707.34/7,878.32 = 5,108.77/x
  3. Step 3: Cross multiply
    5,707.34x = 7,878.32 × 5,108.77
  4. Step 4: Simplify right side
    5,707.34x = 40,248,543.10
  5. Step 5: Solve for x
    x = 40,248,543.10/5,707.34
  6. Step 6: Final answer
    x = 7,052.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.