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Finding the Fourth Proportional to 8,970.88, 13,447.68 and 4,807.84

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Solution

The fourth proportional to 8,970.88, 13,447.68 and 4,807.84 is: 7,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.88 : 13,447.68 = 4,807.84 : x
  2. Step 2: Convert to fraction form
    8,970.88/13,447.68 = 4,807.84/x
  3. Step 3: Cross multiply
    8,970.88x = 13,447.68 × 4,807.84
  4. Step 4: Simplify right side
    8,970.88x = 64,654,293.81
  5. Step 5: Solve for x
    x = 64,654,293.81/8,970.88
  6. Step 6: Final answer
    x = 7,207.13

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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.