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Finding the Fourth Proportional to 9,713.04, 14,544.86 and 6,421.20

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Solution

The fourth proportional to 9,713.04, 14,544.86 and 6,421.20 is: 9,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.04 : 14,544.86 = 6,421.20 : x
  2. Step 2: Convert to fraction form
    9,713.04/14,544.86 = 6,421.20/x
  3. Step 3: Cross multiply
    9,713.04x = 14,544.86 × 6,421.20
  4. Step 4: Simplify right side
    9,713.04x = 93,395,422.93
  5. Step 5: Solve for x
    x = 93,395,422.93/9,713.04
  6. Step 6: Final answer
    x = 9,615.47

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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.