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Finding the Fourth Proportional to 8,385.84, 11,565.76 and 7,442.32

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Solution

The fourth proportional to 8,385.84, 11,565.76 and 7,442.32 is: 10,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.84 : 11,565.76 = 7,442.32 : x
  2. Step 2: Convert to fraction form
    8,385.84/11,565.76 = 7,442.32/x
  3. Step 3: Cross multiply
    8,385.84x = 11,565.76 × 7,442.32
  4. Step 4: Simplify right side
    8,385.84x = 86,076,086.96
  5. Step 5: Solve for x
    x = 86,076,086.96/8,385.84
  6. Step 6: Final answer
    x = 10,264.46

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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.