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Finding the Fourth Proportional to 27,802.51, 38,368.08 and 15,865.61

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Solution

The fourth proportional to 27,802.51, 38,368.08 and 15,865.61 is: 21,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.51 : 38,368.08 = 15,865.61 : x
  2. Step 2: Convert to fraction form
    27,802.51/38,368.08 = 15,865.61/x
  3. Step 3: Cross multiply
    27,802.51x = 38,368.08 × 15,865.61
  4. Step 4: Simplify right side
    27,802.51x = 608,732,801.89
  5. Step 5: Solve for x
    x = 608,732,801.89/27,802.51
  6. Step 6: Final answer
    x = 21,894.89

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1.5x scale

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.