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Finding the Fourth Proportional to 15,574, 21,492.14 and 9,985

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Solution

The fourth proportional to 15,574, 21,492.14 and 9,985 is: 13,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 21,492.14 = 9,985 : x
  2. Step 2: Convert to fraction form
    15,574/21,492.14 = 9,985/x
  3. Step 3: Cross multiply
    15,574x = 21,492.14 × 9,985
  4. Step 4: Simplify right side
    15,574x = 214,599,017.90
  5. Step 5: Solve for x
    x = 214,599,017.90/15,574
  6. Step 6: Final answer
    x = 13,779.31

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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.