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Finding the Fourth Proportional to 15,530.58, 21,431.54 and 8,457

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Solution

The fourth proportional to 15,530.58, 21,431.54 and 8,457 is: 11,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.58 : 21,431.54 = 8,457 : x
  2. Step 2: Convert to fraction form
    15,530.58/21,431.54 = 8,457/x
  3. Step 3: Cross multiply
    15,530.58x = 21,431.54 × 8,457
  4. Step 4: Simplify right side
    15,530.58x = 181,246,533.78
  5. Step 5: Solve for x
    x = 181,246,533.78/15,530.58
  6. Step 6: Final answer
    x = 11,670.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.