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Finding the Fourth Proportional to 6,875.47, 9,490.04 and 6,408.00

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Solution

The fourth proportional to 6,875.47, 9,490.04 and 6,408.00 is: 8,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.47 : 9,490.04 = 6,408.00 : x
  2. Step 2: Convert to fraction form
    6,875.47/9,490.04 = 6,408.00/x
  3. Step 3: Cross multiply
    6,875.47x = 9,490.04 × 6,408.00
  4. Step 4: Simplify right side
    6,875.47x = 60,812,168.01
  5. Step 5: Solve for x
    x = 60,812,168.01/6,875.47
  6. Step 6: Final answer
    x = 8,844.80

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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.