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Finding the Fourth Proportional to 9,712.96, 14,574.40 and 8,987.20

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Solution

The fourth proportional to 9,712.96, 14,574.40 and 8,987.20 is: 13,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.96 : 14,574.40 = 8,987.20 : x
  2. Step 2: Convert to fraction form
    9,712.96/14,574.40 = 8,987.20/x
  3. Step 3: Cross multiply
    9,712.96x = 14,574.40 × 8,987.20
  4. Step 4: Simplify right side
    9,712.96x = 130,983,047.68
  5. Step 5: Solve for x
    x = 130,983,047.68/9,712.96
  6. Step 6: Final answer
    x = 13,485.39

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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.