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Finding the Fourth Proportional to 30,710.71, 45,980.53 and 15,685.30

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Solution

The fourth proportional to 30,710.71, 45,980.53 and 15,685.30 is: 23,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.71 : 45,980.53 = 15,685.30 : x
  2. Step 2: Convert to fraction form
    30,710.71/45,980.53 = 15,685.30/x
  3. Step 3: Cross multiply
    30,710.71x = 45,980.53 × 15,685.30
  4. Step 4: Simplify right side
    30,710.71x = 721,218,425.47
  5. Step 5: Solve for x
    x = 721,218,425.47/30,710.71
  6. Step 6: Final answer
    x = 23,484.26

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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.