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Finding the Fourth Proportional to 15,930, 21,985.84 and 9,646.02

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Solution

The fourth proportional to 15,930, 21,985.84 and 9,646.02 is: 13,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 21,985.84 = 9,646.02 : x
  2. Step 2: Convert to fraction form
    15,930/21,985.84 = 9,646.02/x
  3. Step 3: Cross multiply
    15,930x = 21,985.84 × 9,646.02
  4. Step 4: Simplify right side
    15,930x = 212,075,852.36
  5. Step 5: Solve for x
    x = 212,075,852.36/15,930
  6. Step 6: Final answer
    x = 13,312.99

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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.