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Finding the Fourth Proportional to 10,492.80, 15,726.40 and 4,643.20

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Solution

The fourth proportional to 10,492.80, 15,726.40 and 4,643.20 is: 6,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.80 : 15,726.40 = 4,643.20 : x
  2. Step 2: Convert to fraction form
    10,492.80/15,726.40 = 4,643.20/x
  3. Step 3: Cross multiply
    10,492.80x = 15,726.40 × 4,643.20
  4. Step 4: Simplify right side
    10,492.80x = 73,020,820.48
  5. Step 5: Solve for x
    x = 73,020,820.48/10,492.80
  6. Step 6: Final answer
    x = 6,959.14

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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.