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Finding the Fourth Proportional to 15,640.70, 23,430.06 and 9,698.74

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Solution

The fourth proportional to 15,640.70, 23,430.06 and 9,698.74 is: 14,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.70 : 23,430.06 = 9,698.74 : x
  2. Step 2: Convert to fraction form
    15,640.70/23,430.06 = 9,698.74/x
  3. Step 3: Cross multiply
    15,640.70x = 23,430.06 × 9,698.74
  4. Step 4: Simplify right side
    15,640.70x = 227,242,001.55
  5. Step 5: Solve for x
    x = 227,242,001.55/15,640.70
  6. Step 6: Final answer
    x = 14,528.89

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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.