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Finding the Fourth Proportional to 15,312, 21,130.56 and 8,688

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Solution

The fourth proportional to 15,312, 21,130.56 and 8,688 is: 11,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 21,130.56 = 8,688 : x
  2. Step 2: Convert to fraction form
    15,312/21,130.56 = 8,688/x
  3. Step 3: Cross multiply
    15,312x = 21,130.56 × 8,688
  4. Step 4: Simplify right side
    15,312x = 183,582,305.28
  5. Step 5: Solve for x
    x = 183,582,305.28/15,312
  6. Step 6: Final answer
    x = 11,989.44

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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.