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Finding the Fourth Proportional to 15,781.64, 23,656.05 and 6,417.63

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Solution

The fourth proportional to 15,781.64, 23,656.05 and 6,417.63 is: 9,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.64 : 23,656.05 = 6,417.63 : x
  2. Step 2: Convert to fraction form
    15,781.64/23,656.05 = 6,417.63/x
  3. Step 3: Cross multiply
    15,781.64x = 23,656.05 × 6,417.63
  4. Step 4: Simplify right side
    15,781.64x = 151,815,776.16
  5. Step 5: Solve for x
    x = 151,815,776.16/15,781.64
  6. Step 6: Final answer
    x = 9,619.77

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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.