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Finding the Fourth Proportional to 21,617, 32,430.08 and 6,830.16

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Solution

The fourth proportional to 21,617, 32,430.08 and 6,830.16 is: 10,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617 : 32,430.08 = 6,830.16 : x
  2. Step 2: Convert to fraction form
    21,617/32,430.08 = 6,830.16/x
  3. Step 3: Cross multiply
    21,617x = 32,430.08 × 6,830.16
  4. Step 4: Simplify right side
    21,617x = 221,502,635.21
  5. Step 5: Solve for x
    x = 221,502,635.21/21,617
  6. Step 6: Final answer
    x = 10,246.69

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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.