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Finding the Fourth Proportional to 28,964, 39,970.32 and 15,716

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Solution

The fourth proportional to 28,964, 39,970.32 and 15,716 is: 21,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,964 : 39,970.32 = 15,716 : x
  2. Step 2: Convert to fraction form
    28,964/39,970.32 = 15,716/x
  3. Step 3: Cross multiply
    28,964x = 39,970.32 × 15,716
  4. Step 4: Simplify right side
    28,964x = 628,173,549.12
  5. Step 5: Solve for x
    x = 628,173,549.12/28,964
  6. Step 6: Final answer
    x = 21,688.08

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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.