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Finding the Fourth Proportional to 9,700.80, 14,562.14 and 6,420.30

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Solution

The fourth proportional to 9,700.80, 14,562.14 and 6,420.30 is: 9,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.80 : 14,562.14 = 6,420.30 : x
  2. Step 2: Convert to fraction form
    9,700.80/14,562.14 = 6,420.30/x
  3. Step 3: Cross multiply
    9,700.80x = 14,562.14 × 6,420.30
  4. Step 4: Simplify right side
    9,700.80x = 93,493,275.34
  5. Step 5: Solve for x
    x = 93,493,275.34/9,700.80
  6. Step 6: Final answer
    x = 9,637.69

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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.